james wants to tile his floor using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tile is 13 inches in length and the bottom base is 19 inches. how long of a cut will john need to make so that he cuts the tiles along the median?

a. 32 inches
b. 3 inches
c. 6 inches
d. 16 inches

Question

james wants to tile his floor using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tile is 13 inches in length and the bottom base is 19 inches. how long of a cut will john need to make so that he cuts the tiles along the median?

a. 32 inches
b. 3 inches
c. 6 inches
d. 16 inches

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trapezoid Midsegment Theorem" ], "new_concepts": [], "current_concepts": [ "Trapezoid Midsegment Theorem" ] } ## Identify the given bases of the trapezoid $$ \begin{aligned} &b_1 = 13\text{ inches} \ &b_2 = 19\text{ inches} \end{aligned} $$ ## Apply the trapezoid midsegment formula $$ \begin{aligned} &\text{Median} = \frac{b_1 + b_2}{2} \ &\text{Median} = \frac{13 + 19}{2} = \frac{32}{2} = 16\text{ inches} \end{aligned} $$

(A) 32 inches

(B) 3 inches

(C) 6 inches

(D) 16 inches

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Trapezoid Midsegment Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given bases of the trapezoid

Apply the trapezoid midsegment formula

Answer: