determine (a) the area and (b) the perimeter of the quadrilateral. note that the figure is not drawn to scale.

a. the area of the quadrilateral is
b. the perimeter of the quadrilateral is

Question

determine (a) the area and (b) the perimeter of the quadrilateral. note that the figure is not drawn to scale.

a. the area of the quadrilateral is
b. the perimeter of the quadrilateral is

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Area of Trapezoid", "Perimeter of Trapezoid" ], "new_concepts": [], "current_concepts": [ "Area of Trapezoid", "Perimeter of Trapezoid" ] } ## Identify the given dimensions of the trapezoid $$ \begin{aligned} &b_1 = 12\text{ in}\ &b_2 = 6\text{ in}\ &h = 4\text{ in}\ &s_1 = 5\text{ in}\ &s_2 = 5\text{ in} \end{aligned} $$ ## Calculate the area of the trapezoid $$ \begin{aligned} &A = \frac{1}{2}(b_1 + b_2)h\ &A = \frac{1}{2}(12 + 6)(4)\ &A = 36\text{ in}^2 \end{aligned} $$ ## Calculate the perimeter of the trapezoid $$ \begin{aligned} &P = b_1 + b_2 + s_1 + s_2\ &P = 12 + 6 + 5 + 5\ &P = 28\text{ in} \end{aligned} $$ ## Question 1 a. The area of the quadrilateral is 36 $\text{in}^2$ ## Question 2 b. The perimeter of the quadrilateral is 28 $\text{in}$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Area of Trapezoid" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions of the trapezoid

Calculate the area of the trapezoid

Calculate the perimeter of the trapezoid

Answer:

Question 1

Question 2