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 3x + 6y = 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? a each side of figure b has a length of 6 inches. b the number of sides of figure b is 6. c each side of figure a has a length of 6 inches. d the number of sides of figure a is 6.

Explanation:

The perimeter of a regular polygon is the product of the number of sides and the length of each side. In the equation $3x + 6y=63$, $x$ is the number of sides of figure A and $y$ is the number of sides of figure B. The terms $3x$ and $6y$ represent the perimeters of figure A and figure B respectively. Since perimeter = (number of sides)×(side - length), for the term $6y$, 6 must be the length of each side of figure B.

Answer:

A. Each side of figure B has a length of 6 inches.