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Given that π΄π΅πΆπ· is a parallelogram, and πΈπΉ equals six centimetres, find its area.
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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.
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And hopefully we all know this formula: the area of a parallelogram is equal to the length of its base times its perpendicular height.
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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.
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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΅.
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Now the question told us that the length of πΈπΉ is six centimetres, so we know that the perpendicular height is six centimetres.
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This means we can now work out the area.
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The length of the base was sixteen; the perpendicular height was six.
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And six times sixteen, well six times ten is sixty, and six times six is thirty-six.
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Add those two together; you get ninety-six.
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And the lengths were in centimetres, so the area are gonna be in square centimetres.
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So the answer is, the area of the parallelogram is ninety-six square centimetres, or ninety-six cm squared.