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. Find the perimeter of a rectangular field whose length is four times its width and which has an area equal to 30976 cm2.

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by mahesjaya

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by mahesjaya

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so, the length will be 4x

area of rectangle = length*breadth

⇒ 30976 = x*4x

⇒30976 = 4x²

⇒30976/4 = x²

⇒7744 = x²

⇒88 = x

so length will be = 4x = 4*88 = 352 cm

perimeter of rectangle = 2(l+b)cm

⇒ 2 (88+352)cm

⇒2*440 cm

⇒880 cm

i hope this will help you