Question

A​ stained-glass window in a church is in the shape of a rhombus. The perimeter of the rhombus is 7 times the length of a side in​ meters, decreased by 27 . Find the length of a side of the window.

Answer 1

Let's use the given information to find the length of a side of the stained-glass window.

Step 1: Define the variables

Let s represent the length of a side of the rhombus.

Step 2: Set up the equation using the given information

The perimeter of the rhombus is 7 times the length of a side, decreased by 27. Since a rhombus has 4 equal sides, we can set up the equation as follows:

Perimeter = 4s
7s - 27 = 4s

Step 3: Solve for the length of a side (s)
Subtract 4s from both sides of the equation:

3s = 27

Now, divide both sides by 3:

s = 9

So, the length of the side of the stained-glass window in the shape of a rhombus is 9 meters.