Write a description of how you would calculate the area of the shaded space include the answer.
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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 :
[tex]area = length \times width[/tex]
Let length = 5 units,
Let width = 6 units,
[tex]area = 5 \times 6[/tex]
[tex]area = 30 \: \: {units}^{2} [/tex]
Triangle :
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 3 units,
Let height = 3 units,
[tex]area = \frac{1}{2} \times 3 \times 3[/tex]
[tex]area = \frac{1}{2} \times 9[/tex]
[tex]area = 4.5 \: \: \: {units}^{2} [/tex]
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) :
[tex]area = 30 - 4.5[/tex]
[tex]area = 25.5 \: \: \: {units}^{2} [/tex]