Question

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length and the width​

Answer 1

Length: 139 feet

Width: 104 feet

Explanation:

The formula for the perimeter of a rectangle can be given by
`P = 2l + 2w`. We are given the perimeter of the pool along with the width.

`P = 486`

`w = l - 35`

From here, all we have to do is plug back into the original formula:

`486 = 2l + 2(l - 35)`

Which can be further simplified as:

`486 = 2l + 2l - 70`

`486 = 4l - 70`

From here, all we have to do is add 70 to both sides of the equation and divide by four:

`556 = 4l`

`139 = l`

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

`P = 2l + 2w`

`P = 2(139) + 2(104)`

`P = 278 + 208`

`P = 486`

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

Answer 2

Length = 139 and Width = 104 .

Explanation:

Given: The perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length.

To find: Find the length and the width​ .

Solution: We have given that

Let the length = x

According to question

The width of the pool is 35 feet less than the length.

width = x-35

perimeter = 2(length + width)

plugging the values

486 = 2(x + x-35)

486 = 2x + 2x - 70

486 = 4x - 70

On adding by 70 both side

486 +70 = 4x-70 +70

556 = 4x

On dividing by 4 both side

139 = x

so, length = 139 .

width = x -35 = 139- 35 = 104

Therefore, length = 139 and width = 104.