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29 August, 13:10

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

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Answers (1)
  1. 29 August, 13:35
    0
    length = 18 ft

    Step-by-step 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
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