A wire is bent into 40m ×22m shape. The wire is redrawn into a square, then find side. Find the area of both and compare them.
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Step-by-step explanation:
Length of the rectangle = 40 m
Breadth of the rectangle = 22 m
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 m
Area of square = side × side
= 31 m × 31 m
= 961 m2
Area of rectangle = Length × Breadth
= 40 m × 22 m
= 880 m2
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