question 6 of 25

if the area of the trapezoid below is 75 square units, what is the value of $x$?

a. 12 units
b. 3 units
c. 1.5 units
d. 6 units

Question

question 6 of 25

if the area of the trapezoid below is 75 square units, what is the value of $x$?

a. 12 units
b. 3 units
c. 1.5 units
d. 6 units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Trapezoid Area Formula" ], "current_concepts": [ "Trapezoid Area Formula", "Linear Equations" ] } ## Set up the area equation for the trapezoid $$ \begin{aligned} A &= \frac{1}{2}(b_1 + b_2)h \ 75 &= \frac{1}{2}(17 + 8)x \end{aligned} $$ ## Solve for the height x $$ \begin{aligned} 75 &= \frac{1}{2}(25)x \ 75 &= 12.5x \ x &= \frac{75}{12.5} \ x &= 6 \end{aligned} $$

A. 12 units

B. 3 units

C. 1.5 units

D. 6 units

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Trapezoid Area Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the area equation for the trapezoid

Solve for the height x

Answer: