A rectangular pool has length \dfrac{x^2 + 3x}{x + 1} feet and width \dfrac{x + 1}{x} feet. Which expression represents the area?

x + 3 for valid x Area = \dfrac{x^2 + 3x}{x + 1} \cdot \dfrac{x + 1}{x} = \dfrac{x(x+3)(x+1)}{x(x+1)} = x + 3.

Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

\dfrac{x^2 + 3x}{x + 1}

Explanation

= \dfrac{x^2 + 3x}{x + 1} \cdot \dfrac{x + 1}{x} = \dfrac{x(x+3)(x+1)}{x(x+1)} = x + 3

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