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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A square has area AA. If each side is increased by 4, the new area is A+56A + 56. What is the original side length?

  • A

    88

  • B

    77

  • C

    66

  • D

    55

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Explanation

(s+4)2−s2=56(s+4)^2 - s^2 = 56, 8s+16=568s + 16 = 56, s=5s = 5.

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