Mathematics College

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

Answers

Answer 1

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.

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Answer:

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