Question

The perimeter of a school volleyball court is 177 ft and the length is twice the width. What are the dimensions of the volleyball court?​

Answer 1

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The perimeter of a school volleyball court is 177ft and the length is twice the width. What are the dimensions of the volleyball court

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Solution

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Let length and width be l and b respectively. Then l=2b ⟶(1)

Perimeter of court =177ft.

⇒2(l+b)=177

⇒2(2b+b)=177

⇒6b=177

⇒b=

6

177

=29.50ft

∴l=2×29.50=59 ft.

∴ Length of court =59ft and width =29.50ft.

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Answer 2

Given :

• The perimeter of a school volleyball court is 177 ft and the length is twice the width.

To Find:

• Dimensions of the volleyball court

Solution:

Let Length and breadth of the court be l and b

Then, l = 2b

★ Perimeter of court = 177 ft.

⟹ 2 (l + b) = 177

⟹ 2 (2b + b) = 177

⟹ 4b + 2b = 177

⟹ 6b = 177

⟹ b = 177/6

⟹ Breadth = 29.50 ft

★ Length of court :

⟹ 2 × 29.50

⟹ 59 ft.

Hence,

• Length of court is 59 ft and breadth is 29.50 ft.

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