SOLUTION: Find the area of the region bounded by the x-axis by line x=2 line x=6 line y=x+3 and line y=10−x. I tried graphing the lines but I can't find the area.

Algebra ->  Coordinate-system -> SOLUTION: Find the area of the region bounded by the x-axis by line x=2 line x=6 line y=x+3 and line y=10−x. I tried graphing the lines but I can't find the area.      Log On


   

Question 1175678: Find the area of the region bounded by the x-axis by
line x=2
line x=6
line y=x+3
and line y=10−x.
I tried graphing the lines but I can't find the area.
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

If you make a sketch, you will find that the figure is the union of two trapezoids, oriented VERTICALLY.

They are separated by vertical line x= 3.5.

So, the area of the figure is the sum of areas of two trapezoids.

If you know the formula for the area of a trapezoid, then you should be able to complete the rest ON YOUR OWN.


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