Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 5/5

A rectangle has area 84 and the length is 5 more than the width. What is the width?

  • A

    88

  • B

    66

  • C

    77

    check_circle
  • D

    1212

Explanation

w(w+5)=84w(w + 5) = 84, w2+5w84=0w^2 + 5w - 84 = 0, (w7)(w+12)=0(w-7)(w+12) = 0, so w=7w = 7.

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