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## Homework Statement

__Problem__:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the

area of the region.

Given curves:

y = 2sqrt(x), y = 4, and y = -2x + 4

Technically, the curves are given as follows (but, I simplified them):

2y = 4sqrt(x), y = 4, 2y + 4x = 8

This ( http://www.wolframalpha.com/input/?i=find+area+between+y+=+2sqrt(x),+y+=+4,+y+=+-2x+++4 ) Wolfram Alpha link shows the plot for the area wanted.

## Homework Equations

Definite integration and drawing functions.

## The Attempt at a Solution

Could someone please tell me why that part that looks like a triangle which is from x = 0 to x = 4 and y = 2 to y = 4 is not shaded?

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