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Area of a Region Between Two Curves

Consider the region enclosed by the curves 2y=4sqrt{x}, y=5, 2y+4x=8.
[Note: the y-axis is not a boundary of this region.] Decide whether to integrate with respect to x or y. What is the area of the region?

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The area of a region between two curves is found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.