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14 April, 13:54

A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot. If the family paid $1773, you have to find out dimensions of the room.

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  1. 14 April, 14:12
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    Dimension of room = 18 foot x 18 foot

    Step-by-step explanation:

    Let the square room is of side a foot,

    The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

    Total cost is $1773.

    Cost for re-finishing the hardwood floors = Area x 2.25

    Area = a²

    Cost for re-finishing the hardwood floors = 2.25 a²

    Cost of purchasing and installing the new baseboards = Perimeter x 14.5

    Perimeter = 4a

    Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

    Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

    1773 = 2.25 a² + 58a

    2.25 a² + 58a - 1773 = 0

    a = 18 or a = - 43.77 (not possible)

    Dimension of room = 18 foot x 18 foot
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