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27 November, 16:24

The total number of parking spaces in a parking garage is calculated by adding the area of the lower level given by 22x2, the area of the upper level given by 20x2, and a compact car section given by 12x for a total of 414 parking spaces. Which equation could be used to solve for the number of compact car parking spaces?

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  1. 27 November, 16:33
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    Given:

    Total number of parking spaces = 414

    Area of lower level = 22x^2

    Area of upper level = 20x^2

    Compact car section = 12x

    The total number of spaces in a parking garage = Area of lower level + area of upper level + area of compact car section.

    Working equation:

    414 = 22x^2 + 20x^2 + 12x

    414 = 42x^2 + 12x

    42x^2 + 12x - 414 = 0

    solve for x

    x1 = 3

    x2 = - 3.29

    We can only use the positive value. Therefore, x = 3. The number of compact car parking spaces is 12x = 12 * 3 = 36 parking spaces

    The complete data set is:

    Lower level parking = 22x^2 = 198

    Upper level parking = 20x^2 = 180

    Compact parking space = 12x = 36
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