The two sides of a parallelogram are 3: 17, and its perimeter is 40. Find the largest side of the parallelogram.

univerkov | July 14, 2021 | education

1. Vertices of the parallelogram A, B, C, D. AB / AD = 3/17. P is the perimeter.

2. By the condition of the problem AB / AD = 3/17. Therefore, AD = 17AB / 3.

3. P = 2 (AB + AD) = 40 units.

AB + AD = 20 units.

4. Substitute in this expression 17AB / 3 instead of AD:

AB + 17AB / 3 = 20 units.

20AB = 60 units.

AB = 3 units.

АD = 17АВ / 3 = 17 х 3/3 = 17 units of measurement.

Answer: AD = 17 units of measure – the large side of the parallelogram.

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