Question

A wire bent in shape of rectangle of sides 13.5 CM by 6.5 CM was straightened and Re-bent into square find the length of side of the square

Answer 1

Given :-

The sides of the rectangle are 13.5cm and 6.5cm. i.e.,

Length(L) = 13.5cm.

Breath(B) = 6.5cm.

So, the perimeter of the rectangle is

P = 2(L + B)

= 2(13.5 + 6.5)

= 2(20) = 40cm

Since the length of the wire will remain constant so the perimeter of the rectangle is equal to the perimeter of the square.

=> Perimeter of Square = 40cm

and we know that

4a = perimeter of the square
( where a represents the length of the side )

=> 4a = 40cm

=> a = 10cm

Hence the length of side of the square is 10cm.