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Linear equations in two variables SAT question

Math · Algebra · Medium · Answer it here, explanation included.

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is inches. The equation represents this situation, where is the number of sides of figure A and is the number of sides of figure B. Which statement is the best interpretation of in this context?

ExplanationShow

Choice A is correct. It’s given that figure A and figure B (not shown) are both regular polygons and the sum of the perimeters of the two figures is . It’s also given that is the number of sides of figure A and is the number of sides of figure B, and that the equation  represents this situation. Thus, and  represent the perimeters, in inches, of figure A and figure B, respectively. Since  represents the perimeter, in inches, of figure B and is the number of sides of figure B, it follows that each side of figure B has a length of .

Choice B is incorrect. The number of sides of figure B is , not .

Choice C is incorrect. Since the perimeter, in inches, of figure A is represented by , each side of figure A has a length of , not .

Choice D is incorrect. The number of sides of figure A is , not .

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