Question

A square garden and a hexagon garden have the same perimeter. The perimeter of the square garden is 4(x+7). The perimeter of the hexagon garden is 6(3x). What is the perimeter of each figure?

Answer 1

36

Explanation:

4(x+7) = 6(3x)

2(x+7) = 3(3x)

2x+14 = 9x

14 = 7x

x = 2

Plugging it back into the equation:

Hexagon = 6(3*2) = 6*6 = 36

Square = 4(2+7) = 4*9 = 36

Therefore, the perimeter of each figure is 36.