Final answer:
To find the length of the shortest side of the parallelogram, we need to determine the ratio between the two sides. Let the length of the longer side be 37x and the length of the shorter side be x. The perimeter of a parallelogram is given by the formula: P = 2(a + b), where a and b are the lengths of the adjacent sides. Given that the perimeter is 120cm, we can write the equation: 120 = 2(37x + x). Simplifying the equation, we get: 120 = 2(38x). Therefore, the length of the shortest side is approximately 1.58cm.
Step-by-step explanation:
To find the length of the shortest side of the parallelogram, we need to determine the ratio between the two sides. Let the length of the longer side be 37x and the length of the shorter side be x.
The perimeter of a parallelogram is given by the formula: P = 2(a + b), where a and b are the lengths of the adjacent sides.
Given that the perimeter is 120cm, we can write the equation:
120 = 2(37x + x)
Simplifying the equation, we get:
120 = 2(38x)
60 = 38x
x ≈ 1.58
Therefore, the length of the shortest side is approximately 1.58cm.