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CBSE
Class 8
Mathematics
Ganita Prakash Part II
Area

Question Bank

Practice Hub

Question Bank: Area

Structured practice
Question Practice

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Start with curated question sets, move into full module views when needed, and keep discovering related practice without losing your place in the chapter.

Question Bank - Area

View all (121)
Q1.

What is the area of a rectangle with length 5 cm and width 3 cm?

Single Answer MCQ
Q-00134076
View explanation
Q2.

If a square has a side length of 4 cm, what is its area?

Single Answer MCQ
Q-00134077
View explanation
Q3.

Which rectangle has a larger area: one with dimensions 6 cm and 2 cm, or one with dimensions 5 cm and 3 cm?

Single Answer MCQ
Q-00134078
View explanation
Q4.

What is the perimeter of a rectangle with length 10 cm and width 4 cm?

Single Answer MCQ
Q-00134079
View explanation
Q5.

If the area of a rectangle is 40 cm² and its length is 8 cm, what is its width?

Single Answer MCQ
Q-00134080
View explanation
Q6.

A square has a perimeter of 24 cm. What is the length of one side?

Single Answer MCQ
Q-00134081
View explanation
Q7.

If a rectangle has an area of 30 cm² and a width of 5 cm, what is its length?

Single Answer MCQ
Q-00134082
View explanation
Q8.

What is the total area when you combine two squares, each with a side length of 2 cm?

Single Answer MCQ
Q-00134083
View explanation
Q9.

A rectangle has dimensions that are twice the length and half the width of a square with a side of 4 cm. What is the area of the rectangle?

Single Answer MCQ
Q-00134084
View explanation
Q10.

What is the area in square centimeters of a rectangle with a length of 7 cm and a width of 3 cm?

Single Answer MCQ
Q-00134085
View explanation
Q11.

Which of the following shapes has the largest area if their dimensions are as follows: Rectangle 1: 2 cm x 5 cm; Rectangle 2: 3 cm x 4 cm; Rectangle 3: 1 cm x 8 cm?

Single Answer MCQ
Q-00134086
View explanation
Q12.

If you have a square divided into four smaller squares, what is the area of one smaller square if the side length of the large square is 12 cm?

Single Answer MCQ
Q-00134087
View explanation
Q13.

What is the area of a rectangle with a length of 8 cm and a breadth of 5 cm?

Single Answer MCQ
Q-00134088
View explanation
Q14.

If a square's area is 25 cm², what is the length of one side of the square?

Single Answer MCQ
Q-00134089
View explanation
Q15.

Two rectangles both have equal area of 30 cm². Which condition could NOT be true?

Single Answer MCQ
Q-00134090
View explanation
Q16.

How many square centimeters are in 1 m²?

Single Answer MCQ
Q-00134091
View explanation
Q17.

What is the formula for the area of a triangle?

Single Answer MCQ
Q-00134092
View explanation
Q18.

If the base of a triangle is 10 cm and its height is 5 cm, what is its area?

Single Answer MCQ
Q-00134093
View explanation
Q19.

Which of the following statements about triangles and area is correct?

Single Answer MCQ
Q-00134094
View explanation
Q20.

What is the area of a rectangle with length 5 cm and width 3 cm?

Single Answer MCQ
Q-00134095
View explanation
Q21.

If a triangle has a base of 8 cm and a height of 6 cm, what will be the area?

Single Answer MCQ
Q-00134096
View explanation
Q22.

A rectangle has a length that is double its width. If the width is 4 cm, what is its area?

Single Answer MCQ
Q-00134097
View explanation
Q23.

In a rectangle ABCD, two triangles ABD and ABC are formed using diagonal AC. How do their areas compare?

Single Answer MCQ
Q-00134098
View explanation
Q24.

If the dimensions of a rectangle are increased by 3 cm each, how will its area change if the original dimensions were 10 cm and 5 cm?

Single Answer MCQ
Q-00134099
View explanation
Q25.

What happens to the area of a triangle if its base is doubled and the height remains the same?

Single Answer MCQ
Q-00134100
View explanation
Q26.

What is the area of a rectangle that has a length of 9 meters and a width of 6 meters?

Single Answer MCQ
Q-00134101
View explanation
Q27.

Which triangle will have the maximum area among those sharing the same base but different heights?

Single Answer MCQ
Q-00134102
View explanation
Q28.

A rectangle has an area of 48 cm². If its length is 8 cm, what is its width?

Single Answer MCQ
Q-00134103
View explanation
Q29.

If triangle XYZ has an area of 40 cm² and its base is 8 cm, what is its height?

Single Answer MCQ
Q-00134104
View explanation
Q30.

Which of the following rectangles has the largest area: 6 cm by 7 cm, 5 cm by 8 cm, or 4 cm by 9 cm?

Single Answer MCQ
Q-00134105
View explanation
Q31.

Triangles ABC and DEF both share line segment BC as a common base. If their heights are in a ratio of 2:3, what is the ratio of their areas?

Single Answer MCQ
Q-00134106
View explanation
Q32.

If a rectangle's length is decreased by 2 cm and its width is increased by 2 cm, what will happen to its area?

Single Answer MCQ
Q-00134107
View explanation
Q33.

A triangle has sides of 6 cm, 8 cm, and 10 cm. What is its area?

Single Answer MCQ
Q-00134108
View explanation
Q34.

A rectangle is 3 times as long as it is wide, and the perimeter of the rectangle is 48 cm. What is the area?

Single Answer MCQ
Q-00134109
View explanation
Q35.

What is the area of a triangle if the base is 12 cm and the height is 9 cm?

Single Answer MCQ
Q-00134110
View explanation
Q36.

What is the relationship between the areas of a rectangle and the triangles formed by its diagonals?

Single Answer MCQ
Q-00134111
View explanation
Q37.

Which configuration of triangles will yield the same area but different heights?

Single Answer MCQ
Q-00134112
View explanation
Q38.

A rectangular garden has dimensions of 12 m and 10 m. How many 1 m² tiles are needed to cover the garden?

Single Answer MCQ
Q-00134113
View explanation
Q39.

How can one prove that triangles formed by drawing diagonals in a rectangle have equal areas?

Single Answer MCQ
Q-00134114
View explanation
Q40.

If the area of a rectangle is expressed as 45 cm² and the length is 9 cm, what is the width?

Single Answer MCQ
Q-00134115
View explanation
Q41.

If a triangle's area is known to be 36 cm² and its base is 12 cm, what is the height?

Single Answer MCQ
Q-00134116
View explanation
Q42.

What is the area of a rectangle whose length is increased by 5 cm and width by 2 cm from its initial dimensions of 10 cm and 2 cm?

Single Answer MCQ
Q-00134117
View explanation
Q43.

What will be the area of triangle ABC if its base is doubled while keeping height constant?

Single Answer MCQ
Q-00134118
View explanation
Q44.

Which property is true about the area of identical rectangles?

Single Answer MCQ
Q-00134119
View explanation
Q45.

In a right triangle with a base of 9 cm and a height of 12 cm, finding its area requires what?

Single Answer MCQ
Q-00134120
View explanation
Q46.

A rectangle has an area of 100 cm². If the width is halved, what happens to the area?

Single Answer MCQ
Q-00134121
View explanation
Q47.

A farmer has a rectangular field measuring 20 m by 10 m. If he wants to add a 2 m wide path around the field, what will be the new area?

Single Answer MCQ
Q-00134122
View explanation
Q48.

What is the formula for the area of a rhombus?

Single Answer MCQ
Q-00134123
View explanation
Q49.

If the diagonals of a rhombus are 8 cm and 6 cm, what is its area?

Single Answer MCQ
Q-00134124
View explanation
Q50.

A rhombus has an area of 50 cm² and one diagonal of 10 cm. What is the length of the other diagonal?

Single Answer MCQ
Q-00134125
View explanation
Q51.

If a rhombus has an area of 32 cm² and the length of one side is 8 cm, can the shape be a rectangle?

Single Answer MCQ
Q-00134126
View explanation
Q52.

Which statement about the area of a rhombus is incorrect?

Single Answer MCQ
Q-00134127
View explanation
Q53.

What property allows you to divide a rhombus into congruent triangles?

Single Answer MCQ
Q-00134128
View explanation
Q54.

If a rhombus has sides of length 10 cm and an angle of 60°, what is the area?

Single Answer MCQ
Q-00134129
View explanation
Q55.

Can the area of a rhombus be calculated using only its perimeter?

Single Answer MCQ
Q-00134130
View explanation
Q56.

In what scenario is the area of a rhombus maximum given a fixed perimeter?

Single Answer MCQ
Q-00134131
View explanation
Q57.

If the diagonals of a rhombus are in a ratio of 2:1, and the longer diagonal is 12 cm, what is the area?

Single Answer MCQ
Q-00134132
View explanation
Q58.

How does changing the angle between the diagonals affect the area of the rhombus?

Single Answer MCQ
Q-00134133
View explanation
Q59.

Which of the following represents the relationship between the area, diagonals, and angles in a rhombus?

Single Answer MCQ
Q-00134134
View explanation
Q60.

If the area of a rhombus is 'x' and its longer diagonal is 'd1', what expression represents the shorter diagonal 'd2'?

Single Answer MCQ
Q-00134135
View explanation
Q61.

What is the area of a rectangle with length 8 cm and width 5 cm?

Single Answer MCQ
Q-00134136
View explanation
Q62.

If the dimensions of a rectangle are doubled, how does the area change?

Single Answer MCQ
Q-00134137
View explanation
Q63.

What is the area of a triangle with a base of 10 m and a height of 5 m?

Single Answer MCQ
Q-00134138
View explanation
Q64.

Which of the following has the greatest area: a rectangle of 12 cm by 8 cm or a triangle with a base of 12 cm and height of 8 cm?

Single Answer MCQ
Q-00134139
View explanation
Q65.

A rectangle has a length that is twice its width. If the width is 4 cm, what is the area?

Single Answer MCQ
Q-00134140
View explanation
Q66.

What is the area of a parallelogram with a base of 15 m and height of 6 m?

Single Answer MCQ
Q-00134141
View explanation
Q67.

If two triangles have the same base but different heights, which has the larger area?

Single Answer MCQ
Q-00134142
View explanation
Q68.

What measurement is essential to calculate the area of a trapezoid?

Single Answer MCQ
Q-00134143
View explanation
Q69.

In a triangle, if one side is 10 cm and the opposite height is 5 cm, what is the area?

Single Answer MCQ
Q-00134144
View explanation
Q70.

What is the area of a square with a side length of 3 m?

Single Answer MCQ
Q-00134145
View explanation
Q71.

A rectangle has a perimeter of 40 m and a length of 15 m. What is its width?

Single Answer MCQ
Q-00134146
View explanation
Q72.

The area of a trapezoid is given as 50 m² with bases measuring 10 m and 6 m. What is the height?

Single Answer MCQ
Q-00134147
View explanation
Q73.

If a triangle has sides of lengths 8 cm, 6 cm, and 10 cm, how can you determine its area?

Single Answer MCQ
Q-00134148
View explanation
Q74.

What happens to the area of a square if each side is increased by 50%?

Single Answer MCQ
Q-00134149
View explanation
Q75.

What is the area of an irregular polygon with known side lengths of a triangle, base 10 cm, height 4 cm?

Single Answer MCQ
Q-00134150
View explanation
Q76.

When calculating the area of a parallelogram, if the height is halved, what happens to the area?

Single Answer MCQ
Q-00134151
View explanation
Q77.

What is the formula for the area of a trapezium?

Single Answer MCQ
Q-00134152
View explanation
Q78.

What is the formula for the area of a parallelogram?

Single Answer MCQ
Q-00134153
View explanation
Q79.

If one base of a trapezium measures 5 cm, the other base measures 3 cm, and the height is 4 cm, what is the area?

Single Answer MCQ
Q-00134154
View explanation
Q80.

If the base of a parallelogram is doubled and the height remains the same, how does the area change?

Single Answer MCQ
Q-00134155
View explanation
Q81.

A trapezium has bases of lengths 10 cm and 6 cm, with a height of 5 cm. Calculate the area.

Single Answer MCQ
Q-00134156
View explanation
Q82.

A parallelogram has a base of 10 cm and a height of 5 cm. What is its area?

Single Answer MCQ
Q-00134157
View explanation
Q83.

If a trapezium has an area of 50 cm², one base is 8 cm, and the height is 5 cm, what is the length of the other base?

Single Answer MCQ
Q-00134158
View explanation
Q84.

Which of the following statements about the area of a parallelogram is true?

Single Answer MCQ
Q-00134159
View explanation
Q85.

Which of the following statements is true about the area of a trapezium?

Single Answer MCQ
Q-00134160
View explanation
Q86.

What happens to the area of a parallelogram when the height is tripled while keeping the base constant?

Single Answer MCQ
Q-00134161
View explanation
Q87.

A trapezium's bases are 9 cm and 5 cm, and its height is 3 cm. What expression gives its area?

Single Answer MCQ
Q-00134162
View explanation
Q88.

If the area of a parallelogram is 36 cm² and the base is 6 cm, what is the height?

Single Answer MCQ
Q-00134163
View explanation
Q89.

Calculate the height of a trapezium if the area is 120 cm², bases are 10 cm and 14 cm.

Single Answer MCQ
Q-00134164
View explanation
Q90.

A parallelogram and a rectangle have the same base and height. Which of the following is true?

Single Answer MCQ
Q-00134165
View explanation
Q91.

A trapezium has an area of 36 cm² and bases of 4 cm and 10 cm. What is the height?

Single Answer MCQ
Q-00134166
View explanation
Q92.

How can the area of a parallelogram be visually interpreted?

Single Answer MCQ
Q-00134167
View explanation
Q93.

Consider a trapezium divided into two triangles. How can you express the area of the trapezium using these triangles?

Single Answer MCQ
Q-00134168
View explanation
Q94.

Which of the following is a common misconception regarding parallelograms?

Single Answer MCQ
Q-00134169
View explanation
Q95.

A trapezium has bases of lengths 3 cm and 7 cm, and an unknown height. If the area is 25 cm², what is the height?

Single Answer MCQ
Q-00134170
View explanation
Q96.

If a rhombus is a special type of parallelogram with diagonals intersecting at right angles, what can be said about its area?

Single Answer MCQ
Q-00134171
View explanation
Q97.

Is it possible for two trapeziums to have the same area but different heights? Why?

Single Answer MCQ
Q-00134172
View explanation
Q98.

What is the area of a parallelogram with a base of 12 cm and a height of 10 cm?

Single Answer MCQ
Q-00134173
View explanation
Q99.

Find the area of a trapezium whose bases are 12 cm and 18 cm, with a height of 4 cm.

Single Answer MCQ
Q-00134174
View explanation
Q100.

A parallelogram with a base of 15 m has an area of 75 m². What is its height?

Single Answer MCQ
Q-00134175
View explanation
Q101.

A trapezium has an area of 100 cm², one base as 20 cm, and a height of 10 cm. What could be the length of the other base?

Single Answer MCQ
Q-00134176
View explanation
Q102.

What geometric shape is formed by connecting the midpoints of the sides of a parallelogram?

Single Answer MCQ
Q-00134177
View explanation
Q103.

If the height of a parallelogram is decreased by half, what effect does it have on the area?

Single Answer MCQ
Q-00134178
View explanation
Q104.

In terms of area, how do a square and parallelogram of equal base and height compare?

Single Answer MCQ
Q-00134179
View explanation
Q105.

A parallelogram's area is calculated using which of the following?

Single Answer MCQ
Q-00134180
View explanation
Q106.

What is the area of triangle ABC if AX = 5 units and BC = 6 units?

Single Answer MCQ
Q-00134181
View explanation
Q107.

If the area of triangle ABC is 20 sq. units and the base BC is 8 units, what is the height AX?

Single Answer MCQ
Q-00134182
View explanation
Q108.

What is the length of BY if the area of triangle ABC is 15/2 sq. units and AC = 4 units?

Single Answer MCQ
Q-00134183
View explanation
Q109.

Are the areas of the four triangles formed by the diagonals of a rectangle equal?

Single Answer MCQ
Q-00134184
View explanation
Q110.

Which triangle has the minimum perimeter when BC is the base and the third vertex lies on a line parallel to BC?

Single Answer MCQ
Q-00134185
View explanation
Q111.

If OD = 3 units in a rectangle and both diagonals intersect at point O, what are the areas of triangles formed by diagonal OB?

Single Answer MCQ
Q-00134186
View explanation
Q112.

If triangle ABC has sides AB = 6 units, BC = 4 units, and height from A to base BC = 3 units, what is its area?

Single Answer MCQ
Q-00134187
View explanation
Q113.

In a rectangle, the length is twice the width. If the width is 3 units, what is the area?

Single Answer MCQ
Q-00134188
View explanation
Q114.

What is the height of triangle ABC if base BC = 6 units and area = 12 sq. units?

Single Answer MCQ
Q-00134189
View explanation
Q115.

Which configuration of triangle ABC provides the maximum area for a given base and height?

Single Answer MCQ
Q-00134191
View explanation
Q116.

For triangles sharing a common base, which triangle has the greatest height?

Single Answer MCQ
Q-00134193
View explanation
Q117.

If triangle ABC has its base BC of length x and height h perpendicular to BC, what is a general expression for its area?

Single Answer MCQ
Q-00134195
View explanation
Q118.

If a triangle’s sides are 6, 8, and 10 units, is it a right triangle and what is its area?

Single Answer MCQ
Q-00134197
View explanation
Q119.

What is the relationship between the heights of triangles sharing the same base?

Single Answer MCQ
Q-00134199
View explanation
Q120.

Which statement about triangles formed by cutting a rectangle with a diagonal is false?

Single Answer MCQ
Q-00134201
View explanation
Q121.

If two triangles have equal bases and heights but are different otherwise, what can be said about their areas?

Single Answer MCQ
Q-00134203
View explanation
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