math

The width of a rectangle is (5x-7). Find the polynomial equation reppresenting the area of the rectangle if its lenght is three more than four times as long as its width

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  1. L = 4 w + 3

    A = L w = [ 4 (5x-7) + 3 ] (5x-7)

    = [ 20 x - 28 + 3 ] (5x-7)

    = (20x - 25)(5x+7)

    = 5 (4x-5)(5x+7)

    = 5 (20 x^2 +3 x -35)

    = 100 x^2 + 15 x - 175

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