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# Find the area of the shaded portion below.

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Find the area of the shaded portion below.

Mar 16, 2021

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the shaded area is essentially the area of the trapezoid minus the area of that semi-circle.

the area of the trapezoid is

$$\frac{50+80}{2} \cdot (20 \cdot 2)$$

$$\frac{130}{2} \cdot 40$$

$$65 \cdot 40$$

$$2600$$

the area of the semi-circle is

$$\frac{20^2 \cdot \pi}{2}$$

$$\frac{400 \cdot \pi}{2}$$

$$200 \pi$$

so, the area of the shaded region is $$2600 - 200\pi$$.

hope this helped! please let me know if you have any questions

Mar 16, 2021