If me. Arenth wants to put new carpeting in the room shown, how many square feet should he order

By definition, the area is given by:

A = w * l

Where,

w: width

l: length

We have two expressions for the length:

L = 14//L = 5 + 3c

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

5 + 3c = 14

From here, we clear the value of c:

3c = 14 - 5//3c = 9

c = / frac{9}{3}//c = 3

Then, we have that the width is given by:

W = 6c-8

Substituting the value of c we have:

W = 6 (3) - 8//W = 18-8//W = 10

Finally, the area is given by:

A = w * l//A = 10 * 14//A = 140 ft ^ 2

Answer:

he should order 140 square feet