Question

nancy lives on a corner lot. cutting across a lot that is 36 feet, and 8 ft longerthan the width.find the length and width if the lot

Answer 1

The length of the lot is 13 feet, and the width is of 5 feet.

Explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

`P = 2(l + w)`

Lot of 36 feet:

Rectangular, so
`P = 36`

Length 8 feet longer than the width:

This means that
`l = 8 + w`

Finding the width:

`P = 2(l + w)`

`2(8 + w + w) = 36`

`16 + 4w = 36`

`4w = 20`

`w = (20)/(4)`

`w = 5`

Finding the length:

`l = 8 + w = 8 + 5 = 13`

The length of the lot is 13 feet, and the width is of 5 feet.