Mensuration Test

Result

Mensuration Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

If length of a rectangle is doubled and its width is halved, then what will happen to its area?

A
It will get doubled.

B
It will get halved.

C
It will decrease by 75%.

D
It will remain the same.

Solution

Let the length of rectangle be L cm and its width be W cm.
Therefore, area of the original rectangle = length x width
= L x W

If length is doubled and width is halved, then area of the new rectangle = 2L x W/2
= L x W

Therefore, there will be no change in the area of the rectangle.
Question 2
1 / -0

There are 96 square tiles which make up the floor of the hall in a wedding palace. If the perimeter of each tile is 8 m, what is the area of the floor of the hall?

A
356 m²

B
372 m²

C
384 m²

D
392 m²

Solution

Perimeter of each square tile = side x number of sides
8 = side x 4
8 ÷ 4 = side
side = 2 m

Area of each tile = side²
= 2²
= 4 m²

Area of 96 tiles on the floor = 4 x 96
= 384 m²
Question 3
1 / -0

There is a rectangular park with width 45.5 m and length 65.25 m. A fencing is to be put around it. What length of fencing is required to surround the whole park, if there is an opening of 2.5 m for the gate?

A
212 m

B
216 m

C
219 m

D
221.5 m

Solution

Perimeter of park = 2(length + width)
= 2(65.25 + 45.5)
= 2(110.75)
= 221.5 m

But, there is an opening of 2.5 m for the gate.
Therefore, fencing required to surround the park = Perimeter of the park - Length of the gate
= 221.5 - 2.5
= 219 m