# A wire is in 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?

**Solution:**

Length of the rectangle = 40 cm

Breadth of the rectangle = 22 cm

Since same length of wire is used to form a rectangle and square, we can say that,

perimeter of square = perimeter of rectangle

4 × Side = 2 (Length + Breadth)

4 × Side = 2 (40 + 22)

4 × Side = 2 × 62

4 × Side = 124

Side = 124/4

Side of square = 31 cm

Area of square = side × side

= 31 cm × 31 cm

= 961 cm^{2}

Area of rectangle = Length × Breadth

= 40 cm × 22 cm

= 880 cm^{2}

Hence, square shape encloses more area.

**ā Check: **NCERT Solutions for Class 7 Maths Chapter 11

**Video Solution:**

## A wire is in 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?

Class 7 Maths NCERT Solutions Chapter 11 Exercise 11.1 Question 6

**Summary:**

A wire is in 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, the measure of each side will be 31 cm. Also, square shape encloses more area.

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