Question

Find the perimeter of each figure by writing and solving an equation for the variable, x

Answer 1

x = 3

Perimeter = 12 cm

Explanation:

Pre-Solving

We are given that a square and a regular hexagon have the same perimeters.

We know that Psquare = 4x cm and Phexagon = 6(x-1) cm

Since they are the same value, that means that 4x = 6(x-1)

Solving

x value

Distribute 6 to both x and -1.

We get:

4x = 6x - 6

Now, subtract 6x from both sides.

-2x = -6

Divide both sides by -2.

x = 3

Perimeter value

Since the perimeter is the same for both the square and the hexagon, we can use either 4x or 6(x-1) to get the value of the perimeter.

So: 4(3) = 12 cm

The perimeter (for both the square and the hexagon) is 12 cm.