SOLUTION: the length of the two parallel sides of a trapezium are 36cm and 64cm.what is the area of the trapezium if the distance between the parallel lines is 20cm

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Question 730233: the length of the two parallel sides of a trapezium are 36cm and 64cm.what is the area of the trapezium if the distance between the parallel lines is 20cm
Answer by ohtheirony(35) About Me  (Show Source):
You can put this solution on YOUR website!
A trapezium will form the shape of a trapezoid. It's got the word "trap" in it, right? A trapezoid has two parallel bases. To find the area of a trapezoid, use the formula A%5BTrapezoid%5D=%28%28b%5B1%5D%2Bb%5B2%5D%29%28h%29%29%2F2 or A%5BTrapezoid%5D=%281%2F2%29%28h%29%28b%5B1%5D%2Bb%5B2%5D%29. In other words, add the bases together, multiply this by the height, and divide everything by two. b%5B1%5D and b%5B2%5D=bases and h=height in the equation.
So, the parallel sides would be are bases on the trapezium, 36cm and 64 cm. The height would be the distance between the bases, 20cm. If we set up our equation...
A%5BTrapezoid%5D=%28%2836%2B64%29%2820%29%29%2F2
If we solve it...
A%5BTrapezoid%5D=%28%28100%29%2820%29%29%2F2
A%5BTrapezoid%5D=2000%2F2
A%5BTrapezoid%5D=1000
The area of the trapezium would be 1,000cm%5E2.


If your having trouble visualizing how to find the area of a trapezoid: Click here
If your simply wondering why this formula works?: Click here