Question

Blair's garden is four feet shorter than double its width. The perimeter of the garden is 64 feet.

The width of the garden is ___ feet.

The length of the garden is ____ feet.

Answer 1

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Explanation:

Let l be the length and w be the width

Then according to given statements

`l = 2w-4\ \ \ Eqn\ 1`

Second equation is:

`2l+2w = 64\ \ \ \ Eqn\ 2`

Putting l = 2w -4 in equation 2

`2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\(6w)/(6) = (72)/(6)\\w = 12`

Putting w = 12 in equation 1

`l = 2(12)-4 = 24-4 = 20`

Hence,

The width of the garden is 12 feet.

The length of the garden is 20 feet.