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LenaWriter [7]
3 years ago
6

The perimeter of a rectangle is 66 feet. Find its dimensions assuming that its length is 9 feet less than twice its width.

Physics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

Length = 19 feet

Width = 14 feet

Explanation:

The perimeter, P, of a rectangle is given by

P=2(l+w)

where l is the length and w is the width.

From the question, the length is 9 feet less than twice the width.

l=2w-9

Substitute this in the equation for the perimeter.

P=2(2w-9+w)

P=2(3w-9)

66=2(3w-9)

33=3(w-3)

11=w-3

w=14

Substitute for this in the equation for l.

l=2w-9=2\times14-9=28-9=19

Hence, the length is 19 feet and the width is 14 feet.

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