Mathematics · Quantitative Aptitude

Mensuration and Area

83 Questions

Mensuration and area problems cover calculating dimensions of 2D geometric figures. Questions involve finding areas for trapeziums, squares, and hexagons using standard formulas. This arithmetic topic consistently appears in quantitative aptitude tests for competitive exams.

Trapezium areaSquare dimensionsHexagon propertiesParallelogram areaGeometric conversions

Mensuration and Area Questions

Multiple choice

What is the area of a parallelogram with a base of 12 cm and a height of 8 cm?

  1. 24 square cm

  2. 48 square cm

  3. 72 square cm

  4. 96 square cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The area of a parallelogram is calculated by multiplying its base by its height. In this case, the area is 12 cm * 8 cm = 96 square cm.

Multiple choice

What is the area of a trapezoid with a base of 10 cm, a top base of 6 cm, and a height of 8 cm?

  1. 32 square cm

  2. 64 square cm

  3. 96 square cm

  4. 128 square cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of a trapezoid is calculated by multiplying the average of its bases by its height. In this case, the average of the bases is (10 cm + 6 cm) / 2 = 8 cm. The area is then 8 cm * 8 cm = 64 square cm.

Multiple choice

What is the area of a square with side length 5 cm?

  1. 25 cm^2

  2. 10 cm^2

  3. 20 cm^2

  4. 15 cm^2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, s = 5 cm, so A = 5^2 = 25 cm^2.

Multiple choice

A square has an area of 36 cm^2. What is the length of each side?

  1. 6 cm

  2. 8 cm

  3. 9 cm

  4. 10 cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, A = 36 cm^2, so s^2 = 36. Taking the square root of both sides, we get s = √36 = 6 cm.

Multiple choice

A triangular plot of land has sides of length 20 m, 25 m, and 30 m. What is its area?

  1. 275 m^2

  2. 300 m^2

  3. 325 m^2

  4. 350 m^2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The area of a triangle is given by the formula A = √s(s - a)(s - b)(s - c), where s is the semiperimeter and a, b, and c are the lengths of the sides. In this case, s = (20 + 25 + 30) / 2 = 37.5 m. Therefore, A = √37.5(37.5 - 20)(37.5 - 25)(37.5 - 30) = √37.5 * 17.5 * 12.5 * 7.5 = 300 m^2.

Multiple choice

Find the area of a parallelogram with base 12 cm and height 5 cm.

  1. 30 cm²

  2. 60 cm²

  3. 24 cm²

  4. 48 cm²
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of a parallelogram = base * height = 12 cm * 5 cm = 60 cm²

Multiple choice

Determine the area of a trapezoid with bases 10 cm and 15 cm, and height 8 cm.

  1. 100 cm²

  2. 200 cm²

  3. 150 cm²

  4. 250 cm²
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of a trapezoid = ((base1 + base2) / 2) * height = ((10 cm + 15 cm) / 2) * 8 cm = 100 cm²

Multiple choice

What is the formula for calculating the surface area of a rectangular prism?

  1. SA = 2 * (l * w + w * h + l * h)

  2. SA = 2 * (l + w + h)

  3. SA = l^2 * w * h

  4. SA = 2 * l * w * h
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The formula for calculating the surface area of a rectangular prism is SA = 2 * (l * w + w * h + l * h), where l is the length, w is the width, and h is the height of the prism.