Video: Finding the Area of a Rhombus given the Lengths of Its Diagonals

A rhombus has diagonals 20 and 2. What is its area?


Video Transcript

A rhombus has diagonals 20 and two. What is its area?

The area of a rhombus can be found by taking one-half times diagonal one times diagonal two. And we know the lengths of the diagonals: 20 and two. So we can simply plug them in. However, it is usually a good idea to draw a picture.

So when drawing a rhombus, it kind of looks like a diamond. And the diagonals are what connect the corners. So one diagonal is pretty long; it’s 20. And the other diagonal is pretty small; it’s only two. So one side of the corner should be pretty far apart because it has a length of 20. And then, the other diagonal should connect the corners that are pretty close together because it only has a length of two.

So once again, to find this area of the rhombus, we take one-half and we multiply it by the diagonals. So one of the diagonals was 20 and the other diagonal was two. And we multiply them altogether, so one-half times 20 times two. Well, one-half times 20 is 10 because half of 20 is 10. And now, we need to multiply by the remaining two and 10 times two is 20.

Therefore, the area of this rhombus is 20.

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