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Mathematics

The perimeter of a square is equal to that of a rectangle of length 17 m and breadth 11 m. Find the area of the square.

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Answer

Given:

Length of rectangle = 17 m

Breadth of rectangle = 11 m

Perimeter of square = Perimeter of rectangle

Perimeter of rectangle = 2(length + breadth)

= 2(17 + 11) m

= 2 × 28 m

= 56 m

Perimeter of square = 4 × side

⇒ 56 = 4 × side

⇒ side = 564\dfrac{56}{4}

⇒ side = 14 m

Area of square = side × side

= 14 × 14 sq. m

= 196 sq. m

Hence, the area of the square is 196 sq. m.

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