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 cm2
Area of rectangle = Length × Breadth
= 40 cm × 22 cm
= 880 cm2
Hence, square shape encloses more area.
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.