Mensuration - 2D

1. What is the area of a triangular field of dimensions 11m, 60m, 61m?
A) 240m²    B) 140m²    C) 330m²
D) 230m²    E) 360m²

Sol:

Ans: C

2. The area of the rectangle is 28,800m2. the ratio of the sides is 9 : 8, the perimeter of same rectangle is...
A) 680m    B) 700m    C) 780m
D) 580m    E) 550m

Sol:

Ans: A

3. If the diagonal of a square is 36cm. What is the area of the square (in cm2)?
A) 500    B) 538    C) 600
D) 648    E) 670

Sol:

 

Ans: D

4. The diagonals of the rhombus are 32cm and 60cm. Its perimeter is.....
A) 136cm    B)150cm    C) 162cm
D) 146cm    E) 156cm

Sol:

Ans: A

5. In error of 30% excess is made in calculating the side of square, the % error in its area is...
A) 72%    B) 69%    C) 56%
D) 48%    E) 52%

Sol:

Ans: B

6. What is the radius of a circular field of area 3850m2?
A) 42m    B) 35m    C) 56m    D) 48m    E) 52m

Sol:

Ans: B

7. The perimeter of a rectangular field of length 154m and breadth 70m is...
A) 386m    B) 291m    C) 448m
D) 512m    E) 397m

Sol: Perimeter of rectangular field = 2(l + b)
= 2(154 + 70) Þ 2(224) 448m

Ans: C

8. If the radius of a circle is increased by 12% then the area is increased by....
A) 25.44%    B) 22.11%    C) 32.44%
D) 31.22%    E) 28.33%

Sol:

Ans: A

9. Find the length of a diagonal (in cm) of a rectangle of length 31cm and breadth 12cm?

Sol:

Ans: B

10. The area of an equilateral triangle is . Find the height of the triangle...

Sol:

Ans: D

11. The diagonal of square A whose perimeter is 60 is equal to the side of square B. What is the area of square B?
A) 400    B) 350    C) 600
D) 450    E) 550

Sol:

Ans: D

12. What is the area of trapezium with parallel sides having the lengths 14m and 18m the perpendicular distance between them is 22m?
A) 352m²    B) 442m²    C) 512m²
D) 520m²    E) 342m²

Sol: 

Ans: A

13. If the diagonals of a rhombus are in the ratio 3 : 4 and its area is 1536 cm2, what is the length of the longer diagonal?
A) 15    B) 14    C) 16    D) 13    E) 18

Sol: Let the length of diagonals be 3x, 4x respectively.
Area = 1536cm²

Ans: C

14. The perimeter of square is 332 cm. Find its area.
A) 6889cm²    B) 7212cm²    C) 6432cm²
D) 7514cm²    E) 6712cm²

Sol: Perimeter = 4a = 332

Area of square = a2 = (83)2 = 6889cm²

Ans: A

15. In a triangle XYZ, XY = 29 cm, YZ = 20 cm, and ÐZ = 90°, then the area of DXYZ is:
A) 420 cm2    B) 410 cm2    C) 320 cm2
D) 210 cm2    E) 310 cm2

Sol:

Ans: D

16. What is the length of the side of equilateral triangle, if its area is 225Ö ¾ 3 sq.cm?
A) 30 cm    B) 40 cm    C) 55 cm
D) 60 cm    E) 45 cm

Sol: 

Ans: A

17. The area of parallelogram whose base is 22 cm and height is 15 cm is....
A) 520 cm²    B) 412 cm²   C) 330 cm²
D) 615 cm²    E) 372 cm²

Sol: Area of parallelogram = base × height
= 22 × 15
= 330 cm²

Ans: C

18. Area of Rhombus is 144m. If one diagonal is 16m, find the length of second diagonal.
A) 18m    B) 20m    C) 22m    D) 16m    E) 14m

Sol: 

Ans: A

19. The ratio of length and breadth of a rectangle is 7 : 4 respectively. If the breadth is 87cm less than the length, what is the perimeter of the rectangle?
A) 322 cm    B) 412 cm    C) 538 cm
D) 638 cm    E) 355 cm

Sol: Let the length and breadth be 7x and 4x
respectively.
so, 7x − 4x = 87 3x = 87
x = 29
Perimeter of rectangle = 2(l + b)
= 2(7x + 4x) 2 (11x)
22x Þ 22(29)
638 cm

Ans: D

20. Find the area of parallelogram with base is 22cm and attitude is 14cm
A) 320cm2    B) 215cm2    C) 412cm2
D) 308cm2    E) 350cm2

Sol: Area of parallelogram = base × attitude
= 22 × 14
= 308cm²

Ans: D