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question 7 of 25 what is the area of the polygon below? 10 9 6 12 a. 12…

Question

question 7 of 25 what is the area of the polygon below? 10 9 6 12 a. 120 square units b. 66 square units c. 174 square units d. 84 square units

Explanation:

Step1: Divide the polygon

Divide the polygon into two rectangles.

Step2: Calculate area of first rectangle

The first rectangle has dimensions 10 and (12 - 9)=3. Area $A_1=10\times3 = 30$ square units.

Step3: Calculate area of second rectangle

The second rectangle has dimensions 12 and 6. Area $A_2=12\times6=72$ square units.

Step4: Calculate total area

Total area $A = A_1+A_2=30 + 54=84$ square units.

Answer:

D. 84 square units