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in Linear Equations by (41.5k points)
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The perimeter of a school volleyball court is 177 fit and the length is twice the width. What are the dimensions of the volleyball court’?

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Breadth of a volleyball court = x feet say. 

∴ Its length = 2 × x = 2 x feet. 

The perimeter of a court = 177 feet. 

⇒ 2(l + b) = 177 

⇒ 2(2x + x) = 177 

⇒ 2 x 3x = 177 

⇒ 6x = 177 

⇒ x = \(\frac{177}6\)

∴ x = 29.5 

∴ The breadth of a volleyball court = 29.5ft 

The length of a volleyball court = 2x = 2 × 29.5 = 59ft

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