find the area of the figure below by first finding the areas of the rectangle and triangles.

area of the rectangle: square units
area of the triangle on the left: square units
area of the triangle on the right: square units
area of the figure: square units

Question

find the area of the figure below by first finding the areas of the rectangle and triangles.

area of the rectangle:   square units
area of the triangle on the left:   square units
area of the triangle on the right:   square units
area of the figure:   square units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Area of Rectangles", "Area of Triangles", "Area of Composite Figures" ], "new_concepts": [], "current_concepts": [ "Area of Rectangles", "Area of Triangles", "Area of Composite Figures" ] } ## Find dimensions from the grid $$ \begin{aligned} &\text{Rectangle: } \text{width} = 3 \text{ units}, \text{height} = 4 \text{ units} \ &\text{Left Triangle: } \text{base} = 1 \text{ unit}, \text{height} = 4 \text{ units} \ &\text{Right Triangle: } \text{base} = 3 \text{ units}, \text{height} = 4 \text{ units} \end{aligned} $$ ## Calculate individual areas $$ \begin{aligned} &\text{Area of rectangle} = 3 \times 4 = 12 \ &\text{Area of left triangle} = \frac{1}{2} \times 1 \times 4 = 2 \ &\text{Area of right triangle} = \frac{1}{2} \times 3 \times 4 = 6 \end{aligned} $$ ## Calculate total area $$ \text{Total Area} = 12 + 2 + 6 = 20 $$ Find the area of the figure below by first finding the areas of the rectangle and triangles. Area of the rectangle: 12 square units Area of the triangle on the left: 2 square units Area of the triangle on the right: 6 square units Area of the figure: 20 square units { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Area of Composite Figures" ] }

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QUESTION IMAGE

Question

Explanation:

Find dimensions from the grid

Calculate individual areas

Calculate total area

Answer: