Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter

Question

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation 3 x + 6 y = 63 represents this situation, where x is the number of sides of figure A and y is the number of sides of figure B. Which statement is the best interpretation of 6 in this context?

Accepted Answer

Choice A is correct. It&rsquo;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 63 &#160; inches . It&rsquo;s also given that x is the number of sides of figure A and y is the number of sides of figure B, and that the equation 3 x + 6 y = 63 represents this situation. Thus, 3 x and 6 y represent the perimeters, in inches, of figure A and figure B, respectively. Since 6 y represents the perimeter, in inches, of figure B and y is the number of sides of figure B, it follows that each side of figure B has a length of 6 &#160; inches . Choice B is incorrect. The number of sides of figure B is y , not 6 . Choice C is incorrect. Since the perimeter, in inches, of figure A is represented by 3 x , each side of figure A has a length of 3 &#160; inches , not 6 &#160; inches . Choice D is incorrect. The number of sides of figure A is x , not 6 .

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