Question

A wire is in the shape of a rectangle . Its length is $40cm$and breadth is $22cm$. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

Answer 1

Length of wire in shape of rectangle $=40cm$

Breadth of wire shape of rectangle $=22cm$

let side of square made by wire be a

then ,

perimeter of rectangle = perimeter of square.

$2(40+22)=4a$

$124=4a$

$a=31cm$

Area of rectangle $=40\times 22$

$=880c{m}^2$

Area of square $=31\times 31$

$=961c{m}^2$

Square enclose more area then rectangle