Question

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.

Answer 1

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