sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Easy
The equation gives the perimeter of a rectangular rug that has length , in feet, and width , in feet. The width of the rug is feet. What is the length, in feet, of the rug?
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Explanation
The correct answer is . It's given that the equation gives the perimeter of a rectangular rug that has length , in feet, and width , in feet. It's also given that the width of the rug is feet. Substituting for in the equation yields , or . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Since represents the length, in feet, of the rug, it follows that the length of the rug is feet.