Based on prior knowledge of area of rectangles, decompose or compose triangles to find the area of a triangle. Using knowledge of area of triangles and rectangles, compose and/or decompose triangles, special quadrilaterals, and polygons to find their areas. Apply these techniques in the context of solving real world mathematical 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
)?
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.
x–1135710
f(x)461325

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
)?
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