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?

It is given in the question that,

Length of the rectangle = 40 cm

Breadth of the rectangle = 22 cm

According to question,

Perimeter of rectangle = Perimeter of square

2 (Length + Breadth) = 4 × Side

2 (40 + 22) = 4 × Side

2 × 62 = 4 × Side

124 = 4 × Side

∴ Side = 124/4

= 31 cm

Area of rectangle = Length × Breadth

= 40 × 22

= 880 cm^{2}

Area of square = (Side)^{2}

= 31 × 31

= 961 cm^{2}

Thus, it is clear that, the square shaped wire encloses more area

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