Raji draws a square with a side length of x+5 cm. Ava draws a regular hexagon with a side length of x−1 cm. The two figures have the same perimeter. Write an equation that allows you to solve for x. What is the value of x?

Answer 1

The perimeter of Raji's square is given by 4 * (x + 5) = 4x + 20.
The perimeter of Ava's hexagon is given by 6 * (x - 1) = 6x - 6.
To find the value of x, we set the two perimeters equal to each other:
4x + 20 = 6x - 6
Subtract 4x from both sides:
20 = 2x - 6
Add 6 to both sides:
26 = 2x
Divide both sides by 2:
x = 13
Therefore, the value of x is 13.