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

Answer:

  25 feet

Step-by-step 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.

Answer 2

Answer:

Width of pool is 25 feet

Step-by-step 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

$8x=200$

$x=\frac{200}{8}$

$x=25$

Hence Width of swimming pool is 25 feet