### Video Transcript

Given that ๐ด๐ต๐ถ๐ท is a parallelogram, and ๐ธ๐น equals six centimetres, find its area. So we know that ๐ด๐ต๐ถ๐ท 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 ๐ด๐ต as the base of this parallelogram, the base would be sixteen centimetres; then the perpendicular height is gonna be this distance here, ๐ธ๐น. And we know that because ๐ธ๐น is perpendicular to ๐ท๐ถ; thatโs what this symbol here means; and because ๐ท๐ถ and ๐ด๐ต are parallel, ๐ธ๐น must also be perpendicular to ๐ด๐ต.

Now the question told us that the length of ๐ธ๐น 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.