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

area of the rectangle: square units
area of the triangle: 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 triangle.

area of the rectangle:   square units
area of the triangle:   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 the area of the rectangle $$ \begin{aligned} &\text{width} = 3\text{ units}\ &\text{height} = 4\text{ units}\ &\text{Area}_{\text{rectangle}} = 3 \times 4 = 12\text{ square units} \end{aligned} $$ ## Find the area of the triangle $$ \begin{aligned} &\text{base} = 3\text{ units}\ &\text{height} = 5\text{ units}\ &\text{Area}_{\text{triangle}} = \frac{1}{2} \times 3 \times 5 = 7.5\text{ square units} \end{aligned} $$ ## Find the total area of the figure $$ \begin{aligned} &\text{Area}_{\text{total}} = 12 + 7.5 = 19.5\text{ square units} \end{aligned} $$ Find the area of the figure below by first finding the areas of the rectangle and triangle. Area of the rectangle: 12 square units Area of the triangle: 7.5 square units Area of the figure: 19.5 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 the area of the rectangle

Find the area of the triangle

Find the total area of the figure

Answer: