Question

Question : The area of a square and a rectangle are equal . If the side of the square is 40cm and the breadth of the rectangle is 25 cm , find the length of the rectangle . Also,find the perimeter of the rectangle . ​

Answer 1

Answer is in the img form.

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Answer 2

Answer:

$\mathbb \purple {Solution}$☟︎︎︎

Area of square = (Side)²

= 40cm × 40cm = 1600cm² .

It is given that,

The area of the rectangle = The area of the square.

Area of the rectangle = 1600cm² , breadth of the rectangle = 25cm .

Area of the rectangle = L= b

1600 = L = 25.

L = 64cm

So,the length of rectangle is 64cm.

Perimeter of the rectangle:-

= 2 (L+b) = 2 (64+25)cm.

=2 × 89cm = 178cm.

So,the perimeter of the rectangle is 178cm even though its area is the same as that of the square ▄

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