A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x

Question

A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)? ​

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Sigridomena 2 months 2021-07-24T14:15:09+00:00 1 Answers 5 views 0

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    2021-07-24T14:16:48+00:00

    9514 1404 393

    Answer:

    • 17 cans
    • $2,971.40

    Step-by-step explanation:

    We assume …

    • the 25′ dimension is the wall height
    • the HST rate is 15% (the paint is not purchased in Ontario)
    • only full cans of paint can be purchased

    The wall area is the wall height times the perimeter of the room.

      wall area = (25′)(2(100′ +65′)) = 8250 ft²

    The ceiling area is the product of length and width.

      ceiling area = (100′)(65′) = 6500 ft²

    Then the area to be painted with each coat is …

      painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²

    Then two coats of paint will require sufficient paint to cover …

      (2 coats)×(14750 ft²/coat) = 29,500 ft²

    __

    If each can of paint covers 1750 ft², the number of cans required is …

      (29,500 ft²)/(1750 ft²/can) = 16.86 cans

      17 cans must be purchased

    __

    The cost of 17 cans of paint with sales tax will be …

      (17 cans)($151.99/can)(1 +15%) = $2971.40

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