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33 votes
Find the area of the parallelogram.​

Find the area of the parallelogram.​-example-1
User Kristian Rafteseth
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1 Answer

15 votes
15 votes

Answer:

36 cm²

Explanation:

Area of a parallelogram = base x height

So area of parallelogram ABCD = BC x AM

To calculate the length of AM, use Pythagoras' Theorem a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right-angled triangle).

So using this theorem: BM² + AM² = AB²

⇒ 3² + AM² = 5²

⇒ AM² = 16

⇒ AM = √16 = 4 cm

(positive solution only as length cannot be negative)

Therefore, area of parallelogram ABCD = (3 + 6) x 4 = 9 x 4 = 36 cm²

User Jpmc
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