Question

2. The rectangular floor of a garage has an area of 198 square feet. Andy knows that the floor is 7

feet longer than it is wide. What is length of the floor of the garage?
a. 11 feet
b. 14 feet
C. 18 feet
d. 92 feet

Answer 1

length = 18 ft

Explanation:

Let w = width

L = w+7

Area = l*w

198 = (w+7) (w)

Distribute

198 = w^2 +7w

Subtract 198 from each side

0 = w^2 +7w -198

Factor

What 2 numbers multiply to -198 and add to 7

18* -11 = -198

18+-11 = 7

0=(w+18) (w-11)

Using the zero product property

w+18 =0 w-11=0

w= -18 w=11

We cannot have negative width so w=11

We want the length

l = w+7

l = 11+7 = 18