Question

The length and breadth of a rectangular park are 34 m and 26 m respectively. What will be the length of each side of a square whose perimeter is equal to that of the rectangle?​

Answer 1

Given:-

• Length of rectangular park = 34m

• Breadth of rectangular park = 26m

• Perimeter of rectangle = Perimeter of Square

To Find:-

• Length of the square whose perimeter is equal to that of the rectangle.

Formula used:-

• Perimeter of rectangle = 2(l + b)

• Perimeter of Square = 4 × Side

Solution:-

Firstly,

$\implies\:Perimeter \:of\: rectangle\: = 2(l + b)$

$\implies\:Perimeter of rectangle = 2(34 + 26)$

$\implies\:Perimeter of rectangle = 2(60)$

$\implies\:Perimeter of rectangle = 120m$

According to question,

Perimeter of rectangle = Perimeter of Square

$\implies\:120m = 4 × Side$

$\implies\:Side = \dfrac{120}{4}$

$\implies\:Side = 30m$

Hence, Required length of the square is 30m.

━━━━━━━━━━━━━━━━━━━━━━━━━