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
