Answer:
The length of the lot is 13 feet, and the width is of 5 feet.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
Lot of 36 feet:
Rectangular, so [tex]P = 36[/tex]
Length 8 feet longer than the width:
This means that [tex]l = 8 + w[/tex]
Finding the width:
[tex]P = 2(l + w)[/tex]
[tex]2(8 + w + w) = 36[/tex]
[tex]16 + 4w = 36[/tex]
[tex]4w = 20[/tex]
[tex]w = \frac{20}{4}[/tex]
[tex]w = 5[/tex]
Finding the length:
[tex]l = 8 + w = 8 + 5 = 13[/tex]
The length of the lot is 13 feet, and the width is of 5 feet.
