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?

According to the question,
Perimeter of square = Perimeter of rectangle
⇒ 4 x side = 2 (length + breadth)
⇒ 4 x side = 2 (40 + 22)
⇒ 4 x side = 2 x 62
⇒ side = 2×62 = 31
Thus, the side of the square is 31 cm.
Now, Area of rectangle = length x breadth = 40 x 22 = 880 cm²
And Area of square = side x side = 31 x 31 = 961 cm²
Therefore, on comparing, the area of square is greater than that of rectangle.

Class 7 Maths Chapter 11 Exercise 11.1

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