The parallelogram heights are 2 cm and 6 cm, and its area is 48 cm2. Find the sides of the parallelogram.

univerkov | June 2, 2021 | education

1. The tops of the parallelogram – A, B, C, D. Area (S) = 48 cm². Height BH = 2 cm (drawn to the AD side). Height BK = 6 cm (drawn to the side of CD).

2. Calculate the length of the side AD, using the formula for the area of a parallelogram:

S = AD x BH = 48 cm².

AD = 48: BH = 48: 2 = 24 cm.

3. Calculate the length of the CD side, also using this formula:

S = CD x BK = 48 cm².

CD = 48: BK = 48: 6 = 8 cm.

4.CD = AB = 8 cm. BC = AD = 24 cm.

Answer: the sides of the parallelogram are CD = AB = 8 cm. BC = AD = 24 cm.

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