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The length and breadth of a rectangle are 20 meters and 12 meters respectively. If the perimeter of the rectangle is equal to the area of a square, then what is the perimeter of the square?

The length and breadth of a rectangle are 20 meters and 12 meters respectively. If the perimeter of the rectangle is equal to the area of a square, then what is the perimeter of the square? Correct Answer 32

Given:

The length of the rectangle is 20 meters

The breadth of the rectangle is 12 meters

The perimeter of the rectangle is equal to the area of the square.

Formula used:

Perimeter of a rectangle = 2(Length + Breadth)

Perimeter of a square = 4a

Area of a square = a2

Where a is the side of the square

Calculation:

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The perimeter of the rectangle = 2(20 + 12) meters

⇒ 64 meters

Now, the perimeter of the rectangle = the area of the square

So, the area of the square = 64 m2

⇒ a2 = 64

⇒ a = 8

Now, the perimeter of the square = (4 × 8) meters

⇒ 32 meters

∴ The perimeter of the square will be 32 meters

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