If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content
Current time:0:00Total duration:2:08

Area of a parallelogram on the coordinate plane


Video transcript

let's see if we can find the area of this parallelogram I encourage you to pause the video and see if you can figure it out on your own well we just have to remind ourselves that the area of a parallelogram is going to be the base let me do this in different colors it's going to be the base of the parallelogram which I want to do that in a different color so let me write the base of the parallelogram times the height of the parallelogram x times the height of the parallelogram area is equal to base times side so what would the what could we consider to be the base of this parallelogram well we could imagine it to be one of these sides so we could go from here and so I could say well I could consider this to be the base and so what's the length of that base well we're just going we're just going in the vertical direction we go from y equals five to y is equal to negative seven so this has length 12 we have five above the x-axis and seven below the x-axis adding up to 12 or you could count it one two three four five six seven eight nine 10 11 12 so this is our base and we could say that base is equal to 12 and now what could we view as our height well we could view we could view this dimension right over here as our height and what is that going to be well you can see very clearly that the height is equal to four and it might be a little counterintuitive because normally when you're talking about height you're used to think about how high is something is but you could you could imagine rotating this around so that this is laying the the base is laying flat and then the height is the height in the traditional sense of the word but we could say H is equal to four and now it's pretty straightforward our area our area is going to be equal to 12 or the length of our base times our height times 4 times 4 which is clearly just 48 48 whatever square 48 square units