Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

A rectangle has length x+3x+3 and width xx. If its area is 40, what is xx?

  • A

    44

  • B

    1010

  • C

    88

  • D

    55

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Explanation

x(x+3)=40x(x+3) = 40, x2+3x40=0x^2 + 3x - 40 = 0, (x+8)(x5)=0(x+8)(x-5) = 0, x=5x = 5 (positive).

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