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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

The area of a square is increased by 21 when its side increases by 1. What is the original side length?

  • A

    88

  • B

    1111

  • C

    2121

  • D

    1010

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Explanation

(s+1)2−s2=21(s+1)^2 - s^2 = 21, 2s+1=212s + 1 = 21, s=10s = 10.

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