Answer:
The shorter side is 37 cm and the length of the longer side is 44 cm
Explanation:
Let's denote the length of the shorter side of the parallelogram as x (in centimeters). Then, according to the problem statement, the length of the longer side is 7 cm longer, so it can be expressed as x + 7 cm.
Since a parallelogram has two pairs of parallel sides, the perimeter (the sum of all four sides) is given by:
Perimeter = 2 x (Length of Side 1 + Length of Side 2)
So, for our parallelogram, we can write:
162 cm = 2 x (x + x + 7 cm)
162 cm = 2(2x + 7 cm)
162 cm = 4x + 14 cm
148 cm = 4x
x = 37 cm
Therefore, the length of the shorter side is 37 cm and the length of the longer side is 37 cm + 7 cm = 44 cm.
Thus, the side lengths of the parallelogram are 37 cm and 44 cm.