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7 April, 05:01

Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. the widith of the living room is 5/8 it's length. what is the length of the living room?

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  1. 7 April, 05:26
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    The length of the living room is 24 feet.

    Given:

    Area = 360 ft²

    Length = x

    Width = 5/8 of x

    Area = Length * Width

    360 ft² = x * 5x/8

    360 ft² = 5x²/8

    8 * 360 ft² = 5x²

    2880 ft² / 5 = x²

    576 = x²

    √576 = x

    24 = x

    To check:

    360 ft² = 24 ft * (24 * 5/8)

    360 ft² = 24ft * 15 ft

    360 ft² = 360 ft²
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