Question

An in-ground swimming pool has a length that is three times as long as it is wide, and it has a border around it that measures 200 feet total. How wide is the swimming pool in feet?

The perimeter (P) of a rectangle is P=length+length+width+width.

Answer 1

Width of pool is 25 feet

Explanation:

Let the width be x

Now we are given that length is three times as long as it is wide.

Length = 3x

Now we are given that it has a border around it that measures 200 feet total.

Perimeter of Swimming pool =
`2(Length +Breadth)`

Perimeter of Swimming pool =
`2(3x +x)`

Perimeter of Swimming pool =
`8x`

So, ATQ

`8x=200`

`x=(200)/(8)`

`x=25`

Hence Width of swimming pool is 25 feet

Answer 2

25 feet

Explanation:

Let w represent the width. Then the length is 3w and the perimeter is ...

P = 200 ft = length + length + width + width

200 ft = 3w +3w +w +w

200 ft = 8w . . . . . . . . . . . . . simplify; next, divide by 8

200 ft/8 = w = 25 ft

The width of the swimming pool is 25 feet.