Question

4 mark for review 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:

In the perimeter - related equation for regular polygons, the coefficient of the variable representing the number of sides of a polygon is the length of each side of that polygon. In the equation $3x + 6y=63$, $y$ represents the number of sides of figure B and 6 is the coefficient of $y$. So 6 is the length of each side of figure B.

Answer:

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