### Video Transcript

Given that π΄π΅πΆπ· is a parallelogram, and πΈπΉ equals six centimetres, find its area. So we know that π΄π΅πΆπ· 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, πΈπΉ. And we know that because πΈπΉ is perpendicular to π·πΆ; thatβs what this symbol here means; and because π·πΆ and π΄π΅ are parallel, πΈπΉ must also be perpendicular to π΄π΅.

Now the question told us that the length of πΈπΉ 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.