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if Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft.

Sagot :

carlosego

By definition, the area is given by:

[tex] A = w * l
[/tex]

Where,

w: width

l: length

We have two expressions for the length:

[tex] L = 14

L = 5 + 3c [/tex]

Since the length is the same, we equate both expressions:

[tex] 5 + 3c = 14
[/tex]

From here, we clear the value of c:

[tex] 3c = 14 - 5

3c = 9
[/tex]

[tex] c = \frac{9}{3}

c = 3
[/tex]

Then, we have that the width is given by:

[tex] W = 6c-8
[/tex]

Substituting the value of c we have:

[tex] W = 6 (3) -8

W = 18-8

W = 10
[/tex]

Finally, the area is given by:

[tex] A = w * l

A = 10 * 14

A = 140 ft ^ 2
[/tex]

Answer:

he should order 140 square feet

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