# The two sides of the parallelogram are 1:19 apart and the perimeter is 80. Find the larger side of the parallelogram.

December 29, 2020 | education

| Let us denote the smaller side of the parallelogram by the letter X, then, in order to meet the condition of the problem, the larger side must be 19 x X. The perimeter is equal to the sum of the lengths of the sides. Let’s compose and solve the equation:

(19 x X + X) x 2 = 80;

(20 x X) x 2 = 80;

40 x X = 80;

X = 2.

We found the smaller side. The larger side will be equal to:

19 x 2 = 38.

Answer: The long side of the parallelogram is 38.

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