Question

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

Answer 1

Answer:

The length and the width of the school volleyball court is 59ft and 29.5ft respectively.

Step-by-step explanation:

We know the formula of perimeter of a rectangular field is

P=2(l+w)

From the question we know the perimeter of a school volleyball court is 177ft.

Now replacing the value of “P” with the value 177 we get,

177=2(l+w)

Now put the assumed value of length and width of school volleyball court we get,

177=2(2b+b)⇒177=2×3b⇒6b=177⇒b=1776⇒b=29.5

So the width of the school volleyball court is 29.5ft.

We know that length is twice the width.

The length of the school volleyball court is

2×b⇒29.5×2⇒59

The length and the width of the school volleyball court is 59ft and 29.5ft respectively.

We can assume the value of length l

. the value of width will be l2

.

Perimeter is given 177ft. putting all the values in the formulae we get

P=2(l+w)⇒177=2(l+l2)⇒177=2×(2l+l2)⇒3l=177⇒l=1773⇒l=59

Length is 59ft. Width is

w=l2⇒w=592⇒w=29.5

The length and the width of the school volleyball court is 59ft and 29.5ft respectively.

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