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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Question

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.

KnowledgeBoat · Accepted 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 = ⇒ 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.

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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