Answer:
The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.
Explanation:
1. Let's review the information provided to us to answer the question correctly:
Perimeter of the parallelogram = 50.12 inches
Length of the longer sides = 16.14 inches
Length of the shorter sides = x
2. Write an equation to find the length x of each of the shorter sides.
Perimeter of the parallelogram = 2 * Length of the longer sides + 2 * Length of the shorter sides
50.12 = 2 * 16.14 + 2 *x
2x + 32.28 = 50.12
2x = 50.12 - 32.28
2x = 17.84
x = 17.84/2
x = 8.92
The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.