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brilliants [131]
2 years ago
11

A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 108 inches more than the width. Determine the di

mensions of the carpet by solving the equation 2w+2(w+108)=264​, where w represents the carpet width.
Mathematics
1 answer:
azamat2 years ago
4 0

Answer:

The width of the carpet is 12 inches and the length of the carpet is 120 inches.

Step-by-step explanation:

2w+2(w+108)=264

^We can distribute first^

Distributing would result in:

2w+2w+216=264

Then we would combine like terms, which would result in:

4w + 216 = 264

Then we solve the equation.

4w + 216 = 264 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:     \frac{ - 216 =  - 216}{4w = 48}  \\   \\  \frac{4w}{4}  =  \frac{48}{4}  \\ w = 12

Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."

So now we add 108 to 12 to figure out the length.

108 + 12 = 120

The length of the carpet is 120 inches.

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