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The areas of a rectangular garden and a square garden are equal. If the length and thebreadth of the first garden are 32 m and 8 m, then find the peri
Question

The areas of a rectangular garden and a square garden are equal. If the length and thebreadth of the first garden are 32 m and 8 m, then find the perimeter of the squaregarden.

A.

62 m

B.

52 m

C.

56 m

D.

64 m

Correct option is D

Given:

Length of the rectangular garden = 32 m

Breadth of the rectangular garden = 8 m

Area of the rectangular garden = Area of the square garden

Formula Used:

Area of rectangle = Length × Breadth

Area of square = (Side)2 

Perimeter of square = 4 × Side

Solution: 

Area of rectangle = Area of square

32 × 8 = (Side)2 

Side = 256=16 m\sqrt{256} = 16 \, \text{m}​​

Perimeter of the square garden:

Perimeter = 4 × 16 = 64 m

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