Question

A stained-glass window in a church is in the shape of a rhombus. The perimeter of the rhombus is 7 yimes the length of a side in meters, decreased by 15. Find the length of a side of the window.

Answer 1

The length of a side of the stained-glass window is 5 meters.

Step-by-step explanation:

To find the length of a side of the stained-glass window, let's use the variable 's' to represent the length of a side. We are given that the perimeter of the rhombus is 7 times the length of a side decreased by 15, so we can write the equation: 7s - 15 = perimeter. Since the perimeter of a rhombus is the sum of all its sides, we can also write it as 4s. Equating the two expressions for the perimeter, we have 7s - 15 = 4s. Solving for 's', we get: s = 5.