### Home > CALC > Chapter 1 > Lesson 1.3.2 > Problem 1-121

1-121.

WHICH IS BETTER? Part Two

Below is a comparison between using rectangles and trapezoids to approximate the*same*area under a curve for*f*(*x*). Decide which method you think will best approximate*A*(*f*,*a*≤*x*≤*b*). Then approximate each area if*f*(*x*) = −0.25*x*(*x*− 9),*a*= 2, and*b*= 8 using 3 sections. Compare your results with the actual area*A*= 25.5 square units. Homework Help ✎

Which method comes closer to the actual curve *f*(*x*)?

Each section is 2 units wide. Use this knowledge and the equation of the function to find the areas of each section for both methods.

Which method gave you the number closest to 25.5?