Mathematics
NicolaLeri
27

The area of the rectangle is 80 square inches. the length of the rectangle is (2x) inches and width is (x-3).what is the value of X?

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(1) Answers
Carry751

  A = lw 80 = 2x(x - 3) 80 = 2x(x) - 2x(3) 80 = 2x² - 6x   0 = 2x² - 6x - 80   0 = 2(x²) - 2(3x) - 2(40)   0 = 2(x² - 3x - 40)   2               2   0 = x² - 3x - 40   0 = x² - 8x + 5x - 40   0 = x(x) - x(8) + 5(x) - 5(8)   0 = x(x - 8) + 5(x + 8)   0 = (x + 5)(x + 8)   0 = x + 5    or    0 = x + 8 - 5        - 5         - 8        - 8  -5 = x      or      -8 = x The values of x are -5 and -8.

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