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25 June, 13:23

A rectangle has a length that is 3 feet more than the width. If the area of the rectangle is 52 square feet more than the area of a square with a side of 6, what are the dimensions of the rectangle?

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  1. 25 June, 14:57
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    Step-by-step explanation:

    given:

    length of rectangle=3+w

    area of rectangle=58+area of square

    side of square=6

    SOLUTION

    area of square=L^2

    area of square=6^2

    area of square = 36

    area of rectangle=58+area of square

    area of rectangle=58+36

    =94

    area of rectangle = L*w

    94 = (3+w) * w

    94=3w+w^2

    w^2+3w=94

    w^2+3w + (3/2) ^2=94 + (3/2) ^2

    (w+3/2) ^2=94+9/4

    (w+3/2) ^2=385/4

    √ (w+3/2) ^2=√385/√4

    (w+3/2) = ±√385/2

    hope it gives you a hint
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