Answer: Let's assume that the two sides with the same length have a measure of "x" meters each.
The perimeter of a five-sided figure is the sum of all its sides. We are given that the perimeter is 45.56 meters, so we can set up an equation:
Perimeter = 2x + Sum of the other three sides
45.56 = 2x + (Sum of the other three sides)
Now, we are given that the sum of the other three sides' lengths is 24.2 meters, so we can write:
45.56 = 2x + 24.2
Now, isolate "2x" on one side of the equation:
2x = 45.56 - 24.2
2x = 21.36
Now, divide by 2 to find the value of "x":
x = 21.36 / 2
x ≈ 10.68
So, each of the sides with the same length is approximately 10.68 meters.