Question

Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes all the way around the yard if Mark measures the width as w feet?

Answer 1

Length in feet is equal to
`(2P)/(6.5)`, where P is the perimeter

Explanation:

Let the width (W) of the yard be "X"

`W = w`

Then the length(L) of the yard will be

`2(1)/(4) * w`

`L = (9)/(4) *w`

The perimeter of the yard will be equal to the sum of twice the length and width of the yard

Thus,

`P = 2 W + 2L\\`

Substituting the given values in above equation, we get -

`P = 2 w + 2 ((9)/(4))w\\P = 2w + 4.5 w\\P = 6.5w`

Thus, width in terms of perimeter is equal to

`w = (P)/(6.5)`

Length in feet is equal to
`(2P)/(6.5)`