question 12 of 25

what is the area of the rhombus shown below?

ac = 13
bd = 15

a. 97.5 square units
b. 195 square units
c. 14 square units
d. 128.7 square units

Question

question 12 of 25

what is the area of the rhombus shown below?

ac = 13
bd = 15

a. 97.5 square units
b. 195 square units
c. 14 square units
d. 128.7 square 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": [ "Rhombus Area Formula" ], "current_concepts": [ "Rhombus Area Formula", "Properties of a Rhombus" ] } ## Identify the given values and formula $$ \begin{aligned} &d_1 = AC = 13\ &d_2 = BD = 15\ &\text{Area} = \frac{1}{2} \cdot d_1 \cdot d_2 \end{aligned} $$ ## Calculate the area of the rhombus $$ \begin{aligned} &\text{Area} = \frac{1}{2} \cdot 13 \cdot 15\ &\text{Area} = \frac{195}{2} = 97.5 \end{aligned} $$

A. 97.5 square units

B. 195 square units

C. 14 square units

D. 128.7 square units

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Calculate the area of the rhombus

Answer: