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Mathematics

A rectangle has same area as that of a square of side 10 m. If the breadth of the rectangle is 8 m, find the perimeter of the rectangle.

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Answer

Given:

Side of square = 10 m

Breadth of rectangle = 8 m

Area of square = side × side

= 10 × 10 sq. m

= 100 sq. m

Area of rectangle = Area of square = 100 sq. m

Area of rectangle = length × breadth

⇒ Length = AreaBreadth\dfrac{\text{Area}}{\text{Breadth}}

= 1008\dfrac{100}{8}

= 12.5 m

Perimeter of rectangle = 2(length + breadth)

= 2(12.5 + 8) m

= 2 × 20.5 m

= 41 m

Hence, the perimeter of the rectangle is 41 m.

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