Please help me solve this question

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches