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7 July, 10:24

An architect is allowed 70 square yards of floor space to add a small bedroom to a house. Because of the room's design in relation to the existing structure, the length

of the rectangular floor must be 4 yards less than 2 times the width. Find the length and width of the rectangular floor that the architect is permitted.

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  1. 7 July, 12:09
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    set width as a, so length is 2a-4

    a (2a-4) = 70

    2a^2 - 4a = 70

    a^2 - 2a = 35

    a^2 - 2a + 1 = 36

    (a-1) ^2 = 36 Because width can not be negative so we only take possitive answer.

    (a-1) = 6

    a = 7

    2 (7) - 4

    =14-4

    =10

    Length = 10

    Width = 7
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