Mensuration — Practice Quiz
ICSE · Class 7 · Mathematics
Try a 4-question quiz on Mensuration for ICSE Class 7 Mathematics: tap an answer to check it and see why. 50 questions in the full chapter test.
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Quick Quiz: Mensuration
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A rectangle has perimeter 124 cm and breadth 21 cm. Find its length.
A circle has radius 21 cm. Another circle has circumference equal to 3 times the first circle. Find the radius of the second circle.
A rectangle has length 20 m and diagonal 29 m. Find its area.
A triangle has sides 13 cm, 14 cm and 15 cm. Find its area using Heron's formula.
Sample Questions
An isosceles triangle has equal sides 10 cm each and base 12 cm. Find its area.
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48 cm²
For an isosceles triangle, area = 1/4 × b × √(4a² - b²). Here a = 10 cm and b = 12 cm. So area = 1/4 × 12 × √(4 × 10² - 12²) = 3 × √(400 - 144) = 3 × √256 = 3 × 16 = 48 cm².
The perimeter of a rectangle is 96 cm and its length is 28 cm. Find its breadth and area.
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Breadth 20 cm, area 560 cm²
Use b = P/2 - l. Here P = 96 cm, so P/2 = 48 cm. Breadth = 48 - 28 = 20 cm. Area = l × b = 28 × 20 = 560 cm².
A square has diagonal 14√2 cm. Find its area and side.
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Side 14 cm, area 196 cm²
For a square, diagonal = s√2. Given diagonal = 14√2 cm, so s = 14 cm. Area = s² = 14² = 196 cm².
The radii of two circles are 6 cm and 9 cm. Find the radius of a circle whose circumference equals the sum of their circumferences.
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15 cm
Sum of circumferences = 2π × 6 + 2π × 9 = 2π(6 + 9) = 2π × 15. So the required radius is 15 cm.
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