integration

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tallman2366

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Need help
Find the region bounded by x-2y=0, x-2y=-4, x+y = 4, x+y= 1
Evaluate using a double integral 3xy dA
I know these lines create a rectangle. You use a double integral to find the volume of a region, I assume this is what they are asking.
I am not sure what the limits of integration would be for dydx
 
Where are you stuck. Please show us your work or would prefer that the answer be given to you.
 
I used desmos to graph the lines and i got the coordinates of the 4 points of the rectangle. What is confusing is the rectangle shape is turned the left on the xy plane. so it is hard to determine the limits of integration for dydy. I tried to integrate with the limits of integration that I have but I did not get the correct answer
Thank you
 
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