Findtheareaoftheregionboundedbythegraphsofy=|x|+1andy=5

I meant

Find the area of the region bounded by the graphs of y=|x|+1 and y=5

did you sketch it?

did you get something like
http://www.wolframalpha.com/input/?i=plot+y+%3D+%7Cx%7C%2B1+%2C+y+%3D+5

notice that they intersect at (4,5) and (-4,5) ?
and the altitude is 4, and the base is 8

Area = (1/2)(8)(4) = 16