SOLUTION: What is the area of this trapezoid? https://ibb.co/gZzJPrtd

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Question 1209968: What is the area of this trapezoid?
https://ibb.co/gZzJPrtd

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!



There are three parts to this trapezoid, a rectangle in the middle, and two
right triangles on each end.

On the left, we have a special right triangle, a 6-8-10 right triangle,
whose sides are twice a 3-4-5 right triangle.

To calculate the longer leg 8, if you need to, sqrt%2810%5E2-6%5E2%29=sqrt%28100-36%29=sqrt%2864%29=matrix%281%2C2%2C8%2Ccm%29 

So the area of the triangle on the left is

A=expr%281%2F2%29%2Abase%2Aheight=expr%281%2F2%29%2A6%2A8=matrix%281%2C2%2C24%2Ccm%5E2%29+

The area of the rectangle in the middle is

Area=length%2Awidth=12%2A8=matrix%281%2C2%2C96%2Ccm%5E2%29

The area of the right triangle on the right:

A=expr%281%2F2%29%2Abase%2Aheight=expr%281%2F2%29%2A9%2A8=matrix%281%2C2%2C72%2Ccm%5E2%29+

Adding the 3 parts:

%22%22=%22%22matrix%281%2C2%2C192%2Ccm%5E2%29

Edwin