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7 March, 06:57

John needs to paint a wall with spray paint. the wall has a diagonal of 43.6 feet and a height of 8.3 feet. if a spray can will cover 21.5 square feet, how many cans will john need?

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  1. 7 March, 09:58
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    Diagonal of a wall: d=43.6ft

    Height of a wall: h=8.3ft

    Length of a wall: l

    d²=h²+l², l²=d²-h², l=√ (d²-h²)

    l=√ (43.6²-8.3²), l=42.8ft

    Area of a wall is: l*h=8.3*42.8=355.24ft²

    One spray can can cover 21.5ft². 355.24/21.5=16.52

    John will need 17 cans of spray.
  2. 7 March, 10:04
    0
    The wall is a rectangle, so by the pythagorean theorem, the diagonal squared minus the height squared equals the width squared. This gives a width of 42.80 feet. The area of the wall is width (42.80 ft) x height (8.3 ft), equal to 355.26 square ft. The can covers 21.5 square feet, so John needs 16.52 cans to cover the wall. As he can't buy half a can, John should purchase 17 cans of spraypaint. The wall is a rectangle, so by the pythagorean theorem, the diagonal squared minus the height squared equals the width squared. This gives a width of 42.80 feet. The area of the wall is width (42.80 ft) x height (8.3 ft), equal to 355.26 square ft. The can covers 21.5 square feet, so John needs 16.52 cans to cover the wall. As he can't buy half a can, John should purchase 17 cans of spraypaint.
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