Area Quiz - CBSE Class 10 Mathematics

Free practice quiz: Area (CBSE Class 10 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Calculate the area of a parallelogram with base 8 cm and height 5 cm.

   1. 40 cm²
   2. 20 cm²
   3. 30 cm²
   4. 10 cm²
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   Answer: A. 40 cm²

   The area of a parallelogram is calculated using the formula: Area = base × height. So, 8 cm × 5 cm = 40 cm².

2. A triangle and a parallelogram have equal areas. If the base of the triangle is equal to the base of the parallelogram, what is the ratio of the height of the triangle to the height of the parallelogram?

   1. 1:2
   2. 1:1
   3. 2:1
   4. 3:1
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   Answer: C. 2:1

   For equal areas, 1/2 × base × triangle's height = base × parallelogram's height. Therefore, triangle's height = 2 × parallelogram's height. Hence, the ratio is 2:1.

3. A triangle has a known area of 36 cm² and a base of 12 cm. What is the height of the triangle?

   1. 6 cm
   2. 12 cm
   3. 3 cm
   4. 4 cm
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   Answer: A. 6 cm

   Using the area formula of a triangle: Area = 1/2 × base × height. Substituting the known values, 36 = 1/2 × 12 × height, solving gives height = 6 cm.

4. If the area of a parallelogram is 54 cm² and its base is 9 cm, what is the height of the parallelogram?

   1. 6 cm
   2. 5 cm
   3. 8 cm
   4. 7 cm
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   Answer: A. 6 cm

   Area of a parallelogram = base × height, thus height = Area / base = 54 cm² / 9 cm = 6 cm.

5. The sides of a triangle are 7 cm, 24 cm, and 25 cm. Is this a right triangle and if so, what is the area?

   1. 84 cm²
   2. 88 cm²
   3. 21 cm²
   4. 70 cm²
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   Answer: A. 84 cm²

   7, 24, 25 is a Pythagorean triplet, hence a right triangle. Area = 1/2 × base × height = 1/2 × 7 × 24 = 84 cm².

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