Question

A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?

Answer 1

Length = 120 yards, width = 30 yards.

Explanation:

Lets use
`l` for length and
`w` for width.

The perimeter of a rectangular field is
`2l + 2w`. We can construct the following equations:

`4w = l`.

`2l + 2w = 300.`

If we plug
`4w` in for
`l` into the second equation, we get:

`2w + 2(4w) = 300.`

`2w+8w = 300.`

`10w = 300.`

`w= 30.`

Plug 30 in for
`w` into the first equation.

`l = 4*30 = 120.`

Length = 120 yards, width = 30 yards.