Mensuration Test

Result

Mensuration Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The perimeter of a rectangular field is 512 m and the ratio between the length and breadth is 5 : 3. Find the area

A
1,53,600 m²

B
15,360 m²

C
1,536 m²

D
None of these

Solution

Let length and breadth be 5x and 3x
Then 2(5x + 3x) = 512 m
16x = 512
x = 32
Area = (5 × 32) × (3 × 32)
= 15,360 m²
Question 2
1 / -0

In a map, scale is defined as further 35 km to 1 cm. If area of a region is 4410 km², how much area it will occupy

A
36 cm

B
36 cm²

C
360 cm

D
None of these

Solution

Area should be 44100 km²
Side of area = square root of 44100 = 210 km
Side in cm = 210/35 = 6
Area on map = 6 x 6 = 36 cm²
Question 3
1 / -0

A marginal walk all around the inside of an oblong piece of ground 40 m × 35 m occupies 650 m². Find the width of the walk.

A
50 m

B
5 m

C
10 m

D
None of these

Solution

Let the width of the walk be y m.
So, 40 x 35 - (40 - 2y) × (35 - 2y) = 650
Or, y = 5 (The only feasible value)
Thus, the width of the walk = 5 m
Question 4
1 / -0

Area of parallelogram is 1280 square metres. If the height of the parallelogram is 32 m, find the length of its base.

A
14 m

B
40 m

C
25 m

D
None of these

Solution

Total area = 1280 m²
base = (1280/32)m = 40 m