The perimeter of a school volleyball court is 177 fit and the length i

1.	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’?
Answer» 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

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’?

Answer»

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