The perimeter of a square is equal to the perimeter of the rectangle of length 16 cm and breadth 8 cm. Find the side of the square and area of the square.


Given:


The perimeter of a square is equal to the perimeter of the rectangle of length 16 cm and breadth 8 cm.


To do:


We have to find the side of the square and area of the square.

Solution:


Length of rectangle = 16 cm

Breadth = 8 cm

Perimeter of rectangle = 2 (length $+$ breadth)

Perimeter of rectangle = $2 ( 16 + 8)$

Perimeter of rectangle = $2(24)$

Perimeter of rectangle = 48 cm.

Perimeter of square = Perimeter of rectangle 

Perimeter of square =  48 cm

Perimeter of square =  4 $\times$ side

48  =  4$\times$side

$\frac{48}{4}$ =  side

Side = 12 cm

Side of the square is 12 cm.

Area of square = side $\times$ side

 

Area of square = 12 $\times$ 12 cm2 

Area of the square is 144 sq.cm.


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Updated on: 10-Oct-2022

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