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Find the length of a rectangle, given that the perimeter is 180 feet and the length is 5 times the width.

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Answer :

  • Length of rectangle = 75 feet

Explanation:

Let us consider the width of the rectangle be 'x' feet and length be '5x' feet .

Also the perimeter of the rectangle is 180 feet


{\boxed{\sf{Perimeter = 2(l +w)}}}

where, l is length and w is width


\hookrightarrow \sf 2(5x + x ) = 180


\hookrightarrow \sf 10x + 2x = 180


\hookrightarrow \sf 12x = 180

Divide both sides by 12,


\hookrightarrow \sf x = 15

Hence, width of rectangle = x = 15 feet


\hookrightarrow \sf Length = 5x


\hookrightarrow \sf Length = 5(15)


\hookrightarrow \sf Length = 75 \: feet

Henceforth, the length of the rectangle is 75 feet.

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