A wire is the shape of a rectangle. Its length is 40 cm and breadth is

1.	A wire is the shape of a rectangle. 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» The shape of the wire rectangle. The perimeter of this rectangle Total or length of wire =2 (l + b) length = 40 cm breadth = 22 cm = 2(40 + 22) = 2(62) = 124 cm. If it is reshaped in the form of sq, its side} = \(\frac{124}{4} = 31cm\) ∴ Its square = side × side = 31 × 31 = 961 sq. cms Rectangle’s Area = l × b = 40 × 22 = 880 sq.cms. The area of square encloses more area than the area of rectangle.

A wire is the shape of a rectangle. 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»

The shape of the wire rectangle.

The perimeter of this rectangle

Total or length of wire =2 (l + b)

length = 40 cm breadth = 22 cm

= 2(40 + 22)

= 2(62) = 124 cm.

If it is reshaped in the form of sq, its side}

= \(\frac{124}{4} = 31cm\)

∴ Its square = side × side = 31 × 31 = 961 sq. cms

Rectangle’s Area = l × b = 40 × 22 = 880 sq.cms.

The area of square encloses more area than the area of rectangle.