Question

A wire is in the shape of a reactangle . Its length is 40 cm and breadth is 22 cm . 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

Step-by-step explanation:

Given, wire bent to form rectangle,

Length of the rectangle = 40cm

Breadth of the rectangle = 22cm

Therefore, perimeter of the rectangle= 2(l+b)

= 2(40 cm + 22 cm)

= 2 × 62 cm = 124 cm

Then, same wire bent to form a square ,

So , perimeter of rectangle = perimeter of square

Perimeter of square = 124 cm

Therefore, one side of the square = perimeter÷ 4

= 124 cm / 4 = 31 cm

So, Area of the rectangle = l × b

= 40 cm × 22 cm

=

$880 {cm}^{2}$

Area of the square = side × side

= 31 cm × 31 cm

=

$961 {cm}^{2}$

Hence, the square shape covers more area ( Ans)