ABCD – parallelogram AB: BC = 4: 5 P (abcd) = 36 CM Find the sides of the parallelogram.

univerkov | August 13, 2021 | education

1. By the condition of the problem AB: BC = 4: 5. Therefore, AB = 4BC / 5 cm.

2. We calculate the length of the sides of the parallelogram (AB and BC), using the formula for calculating its perimeter (P):

P = 2 (BC + AB) = 36 cm.

BC + AB = 18 cm. Substitute 4BC / 5 instead of AB into this expression:

BC + 4BC / 5 = 18 cm.

9BC = 90 cm.

BC = 10 cm.

AB = 4 x 10: 5 = 8 cm.

3. In a parallelogram, the opposite sides are equal.

Therefore, AB = CD = 8 cm. BC = AD = 10 cm.

Answer: AB = CD = 8 cm. BC = AD = 10 cm.

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