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3 February, 06:56

Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?

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  1. 3 February, 10:06
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    Dimension of doghouse is 4ft by 6ft

    Step-by-step explanation:

    Here, we are interested in calculating the dimensions of the doghouse.

    Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

    Now, the area of rectangle is L * B

    x * 2x/3 = 24

    2x^2 = 3 * 24

    2x^2 = 72

    diverse both sides by 2

    x^2 = 36

    hence x = 6ft

    The width would be 2/3 * 6 = 12/3 = 4 ft
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