4.MD.D.8
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real-world problems.
Example Problems
Approximate the area between the x‑axis and from to using a left Riemann sum with 4 equal subdivisions.
What is the approximate area (in )?
What is the approximate area (in )?
Approximate the area between the x‑axis and f(x) from x = –1 to x = 10 using a right Riemann sum with 5 unequal subdivisions.
What is the approximate area (in )?
| x | –1 | 1 | 3 | 5 | 7 | 10 |
|---|---|---|---|---|---|---|
| f(x) | 4 | 6 | 1 | 3 | 2 | 5 |
What is the approximate area (in )?
Approximate the area between the -axis and from to using a right Riemann sum with equal subdivisions.
What is the approximate area (in )?
What is the approximate area (in )?

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