The width of a rectangular room is 40% of its length. If the length is 20 feet, what is the area of the room?

Question

The width of a rectangular room is 40% of its length. If the length is 20 feet, what is the area of the room?

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Madeline 1 month 2021-10-16T07:51:41+00:00 1 Answer 0 views 0

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    2021-10-16T07:52:57+00:00

    Answer:

    160 ft^2

    Step-by-step explanation:

    First you have to find the width, then you find the area. To find the width with a percentage we do Part/ Total = %/100  and we cross multiply. We need to find the part so that is the unknown, we will call it ‘w’ for width

    w/20 = 40/100       Now we cross multiply, the x and the 100 and the 20 and 40

    w * 100 = 100w

    20 * 40 = 800

    Now we have 100w = 800      The next step is to divide both sides by 100 so we just have w

    100x/100= w

    800/100 = 8

    w = 8

    The width is 8

    Now we find the area which is length x width

    20 x 8 = 160

    So the area is 160 ft^2

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