About this video
A parallelogram has area 24 square units and sides 6 and 5, and the height is missing. Using area = base x height with base 6, the video solves 24 = 6 x h to find the height is 4 units.
You'll be able to
- use area = base x height for a parallelogram.
- find a missing height when I know the area and base.
- use the fact that opposite sides of a parallelogram are equal.
Key words
- parallelogram
- A four-sided shape whose opposite sides are parallel and equal in length.
- base
- The side the height is measured to.
- height
- The straight-down distance from the top side to the base.
- square units
- The units used to measure area.
Transcript
- [Lecturer] The parallelogram shown below has an area of 24 units squared, or square units. Find the missing height. So, here's the parallelogram. This side has length six, this side has length five. And we wanna find the missing height. And they gave us the area.
So, pause this video and see if you can figure it out on your own. Well the key to solving this, is to realize how the area relates to a base and height. An area of a parallelogram, area of a parallelogram is going to be equal to the base, times the height. Now, what's the base in this scenario?
Well, you could view this length, right over here as the base. Which is also going to be the same as that length. In a parallelogram, opposite sides have the same length. The parallel sides have the same length. So this going to be six. So our base is going to be six.
And our height is what we wanna figure out. So that, I will just write as, this is the H that we're trying to figure out. And we know the area. The area is 24 square units. So there we go, we have 24 is equal to six. Is equal to...six times the height. So six times what, is equal to 24?
Well six times four is equal to 24. So we know that H is going to be equal to four units. H is equal to four units.
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