This is aptitude questions and answers section on Mensuration with explanation for various interview, competitive examinations and entrance tests.
1. What is the are of an equilateral triangle of side 16 cm?
- A. 48√3 cm2
- B. 128√3 cm2
- C. 9.6√3 cm2
- D. 64√3 cm2
- E. None of these
Answer: Option D
Explanation:
Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;
2. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
- A. 120 cm2
- B. 130 cm2
- C. 312 cm2
- D. 315 cm2
- E. None of thesae
Answer: Option A
Explanation:
The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
3. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
- A. 25 cm2
- B. 42 cm2
- C. 49 cm2
- D. 70 cm2
- E. None of these
Answer: Option E
Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
4. Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
- A. 225 cm2
- B. 275 cm2
- C. 285 cm2
- D. 315 cm2
- E. None of these
Answer: Option C
Explanation:
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15)
= 285 cm2
5. Find the area of a parallelogram with base 24 cm and height 16 cm.
- A. 262 cm2
- B. 384 cm2
- C. 192 cm2
- D. 131 cm2
- E. None of these
Answer: Option B
Explanation:
Area of a parallelogram = base * height = 24 * 16 = 384 cm2
