Answer:
The area of shaded region is 25.5 units³
Step-by-step explanation:
Step 1 , you have to find the area of rectangle and triangle using the formulas :
Rectangle :
![area = length \times width](https://tex.z-dn.net/?f=area%20%3D%20length%20%5Ctimes%20width)
Let length = 5 units,
Let width = 6 units,
![area = 5 \times 6](https://tex.z-dn.net/?f=area%20%3D%205%20%5Ctimes%206)
![area = 30 \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%2030%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Triangle :
![area = \frac{1}{2} \times base \times height](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height)
Let base = 3 units,
Let height = 3 units,
![area = \frac{1}{2} \times 3 \times 3](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5Ctimes%203%20%5Ctimes%203)
![area = \frac{1}{2} \times 9](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%209)
![area = 4.5 \: \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%204.5%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :
![area = 30 - 4.5](https://tex.z-dn.net/?f=area%20%3D%2030%20-%204.5)
![area = 25.5 \: \: \: {units}^{2}](https://tex.z-dn.net/?f=area%20%3D%2025.5%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20)
Answer:
2.- 8.0 in.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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For part two using what we already know can you figure out the length of the segment?
answer D) 24