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A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park?

A square park has been divided into two rectangles of equal area. If the perimeter of each of these rectangles is 39 m, then what will be the perimeter of the square park? Correct Answer 52 m

Given:

A square park has been divided into two rectangles of equal area.

The perimeter of each of these rectangles = 39 m

Formula used:

Area of square = side2

Perimeter of rectangle = 2(L + B)

Perimeter of square = 4a

Area of rectangle = L × B

Calculation:

  Shortcut Trick Let side of the square be 'a'

According to the given statement,

(Sum of the perimeters of both rectangles) - 2a = perimeter of the square

⇒ 39 + 39 - 2a = 4a

⇒ 78 = 6a

⇒ a = 13

Now, perimeter of the square = 4 × 13 = 52

∴ The required perimeter of the square is 52 m

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