# The area of a square is 36 square meters. A rectangle has the same perimeter as the square . If the length of the rectangle is 8 cm , find its breadth .

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by kanikagarg

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by kanikagarg

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We know l² = area of square

m∴l² = 36m²

⇒l = √36m² = 6m

Therefore the side of the square = 6m

Given perimeter of square = perimeter of rectangle

⇒4l = 2(l+b)

⇒4(6) = 2(8 + b) [ ∵ l =8m given]

⇒2(8+b) = 24

⇒8+b = 24/2

⇒8+b = 12

⇒b = 12-8

∴ breadth = 4m