In order to find the sides of a parallelogram, we will recall the properties of the sides of a parallelogram and the formula for finding the perimeter of a parallelogram.
So, from the condition it is known that one of the sides of the parallelogram is 25 cm larger than the second, and its perimeter is 122 cm.
Opposite sides of a parallelogram are equal to each other.
We denote by x cm the length of one of the sides, then the length of the second side can be written as (x + 25) cm.
P = 2 (a + b);
2 (x + (x + 25)) = 122;
x + x + 25 = 122: 2;
2x + 25 = 61;
2x = 61 – 25;
2x = 36;
x = 36: 2;
x = 18 cm length of one side and 18 + 25 = 43 cm length of the second.
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