Inactive Tutor answered • 05/21/18
Tutor
New to Wyzant
If you make a drawing you will see that you have a trapezoid, and its area is easily calculated w/o calculus.
you can use that as a check on your work where you use Riemann sum's limit!
Inactive Tutor
I assume that you can graph y=x+3.
The area desired is a trapezoid; its four vertices are (0,0) (4,0) (4,7) and (0,3). Locate them on the graph.
Connect the dots in the order listed to show the trapezoid
The trapezoid's two parallel bases are vertical; one has length 3, associated with the y-intercept;
the other base has length 7. thus the "height" is the horizontal side on the x-axis; h=4.
Area = AVERAGE BASE times height; this would be ½(3+7)(4) = 20 square units.
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05/22/18
Mia B.
05/21/18