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7 December, 02:37

A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

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  1. 7 December, 02:56
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    Let A the area of the square, Ar the area of a rectangle, l length and w width, s sides.

    A=Ar

    A = s²

    Ar = lw

    A = (6x+2) ²

    (6x+2) ² = l w

    (6x+2) ² = l (3x+1)

    2 (3x+1) (6x+2) = l (3x+1)

    l = 2 (6x+2) = 12x+4

    so length is 12x+4
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