Raji draws a square with a side length of x+5

Question

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
?(1 point)
Responses

18
18

13
13

26
26

12
12

Answer 1

The equation that allows you to solve for x is:

4(x+5) = 6(x-1)

To simplify and solve for x, you can expand the expressions:

4x + 20 = 6x - 6

Then, subtract 4x from both sides:

20 = 2x - 6

Next, add 6 to both sides:

26 = 2x

Finally, divide both sides by 2 to solve for x:

x = 13

So, the value of x is 13.