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?

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#### Solution

Perimeter of rectangle = Perimeter of square

2 (Length + Breadth) = 4 × Side

2 (40 + 22) = 4 × Side

2 × 62 = 4 × Side

Side = 124/4 = 31 cm

Area of rectangle = 40 × 22 = 880 cm^{2}

Area of square = (Side)2 = 31 × 31 = 961 cm^{2}

Therefore, the square-shaped wire encloses more area

Concept: Area of Square

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