A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
why is the area of a rectangle base x height?
Why is a nonrectangular parallelogram base x height and is this true?
 2 years ago
why is the area of a rectangle base x height? Why is a nonrectangular parallelogram base x height and is this true?

This Question is Closed

richyw
 2 years ago
Best ResponseYou've already chosen the best response.1yes this is true. You can show it many ways. But basically if you consider the parallelogram made up of two vectors in a plane. The area is the cross product of these vectors. If you put b so that it is in the direction of one of the axis you have h as the component of the second vector in the opposite plane. So the cross product would give you base*height.

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.1Area is measured in a fancy derived unit: "squared (unit)". I think it would be easiest to show if you split the rectangle into "unit squares;" i.e., they are squares of a side length of one unit. dw:1352689557487:dw A fast way to count the number of squares here inside the rectangle is simply multiplying your number of columns by your number of rows. Thus, base times the height. A parallelogram is quite interesting as well. If we have a parallelogram here, consider rearranging things. dw:1352689759240:dw We only move pieces around, so the area has not changed. However, we effectively can fill the gap on one side of the parallelogram with the other side! Thus, it makes a rectangle. We already know the routine from there: base x height. :)

cutidede
 2 years ago
Best ResponseYou've already chosen the best response.0okay thanks. i understand it better now.

AccessDenied
 2 years ago
Best ResponseYou've already chosen the best response.1You're welcome! :)

cutidede
 2 years ago
Best ResponseYou've already chosen the best response.0could u help me with my other math problem about tennis balls
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.