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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

User Jolly
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1 Answer

7 votes

Answer:

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.

User Toastie
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