Question Video: Finding the Area of a Parallelogram given Its Dimensions | Nagwa Question Video: Finding the Area of a Parallelogram given Its Dimensions | Nagwa

# Question Video: Finding the Area of a Parallelogram given Its Dimensions Mathematics

Given that π΄π΅πΆπ· is a parallelogram, and πΈπΉ = 6 cm, find its area.

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### Video Transcript

Given that π΄π΅πΆπ· is a parallelogram, and πΈπΉ equals six centimetres, find its area. So we know that π΄π΅πΆπ· is a parallelogram, and that means that this side is parallel to this side, and this side is parallel to this side. And hopefully we all know this formula: the area of a parallelogram is equal to the length of its base times its perpendicular height.

So if we take π΄π΅ as the base of this parallelogram, the base would be sixteen centimetres; then the perpendicular height is gonna be this distance here, πΈπΉ. And we know that because πΈπΉ is perpendicular to π·πΆ; thatβs what this symbol here means; and because π·πΆ and π΄π΅ are parallel, πΈπΉ must also be perpendicular to π΄π΅.

Now the question told us that the length of πΈπΉ is six centimetres, so we know that the perpendicular height is six centimetres. This means we can now work out the area. The length of the base was sixteen; the perpendicular height was six. And six times sixteen, well six times ten is sixty, and six times six is thirty-six. Add those two together; you get ninety-six.

And the lengths were in centimetres, so the area are gonna be in square centimetres. So the answer is, the area of the parallelogram is ninety-six square centimetres, or ninety-six cm squared.

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