question 7 of 10

what is the area of the polygon given below?

a. 180 square units
b. 60 square units
c. 120 square units
d. 90 square units

Question

question 7 of 10

what is the area of the polygon given below?

a. 180 square units
b. 60 square units
c. 120 square units
d. 90 square units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Decomposition of Polygons", "Rectangle Area Formula" ], "new_concepts": [], "current_concepts": [ "Decomposition of Polygons", "Rectangle Area Formula", "Polygon Area Definition" ] } ## Decompose the L-shaped polygon vertically $$ \begin{aligned} &\text{Left Rectangle Width} = 5 \ &\text{Left Rectangle Height} = 12 \ &\text{Right Rectangle Width} = 10 \ &\text{Right Rectangle Height} = 6 \end{aligned} $$ ## Calculate the area of each sub-rectangle $$ \begin{aligned} &\text{Area}_{\text{left}} = 5 \times 12 = 60 \ &\text{Area}_{\text{right}} = 10 \times 6 = 60 \end{aligned} $$ ## Sum the areas to find the total area $$ \text{Total Area} = 60 + 60 = 120 $$

A. 180 square units

B. 60 square units

C. 120 square units

D. 90 square units

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QUESTION IMAGE

Question

Explanation:

Decompose the L-shaped polygon vertically

Calculate the area of each sub-rectangle

Sum the areas to find the total area

Answer: