this floor framing plan is at a scale of 1:50. the deck measures 78mm on the plan. how long will the finished deck be?

select one:
a. 390mm
b. 78cm
c. 7.8m
d. 3.9m

Question

this floor framing plan is at a scale of 1:50. the deck measures 78mm on the plan. how long will the finished deck be?

select one:
a. 390mm
b. 78cm
c. 7.8m
d. 3.9m

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Floor Plan Scales", "Scale Interpretation", "Metric Conversions" ], "new_concepts": [], "current_concepts": [ "Floor Plan Scales", "Scale Interpretation", "Metric Conversions" ] } ## Identify the given values and scale Using the *Floor Plan Scales* and *Scale Interpretation* knowledge points $$ \begin{aligned} &\text{Scale} = 1:50 \ &\text{Plan Measurement} = 78\text{ mm} \end{aligned} $$ ## Calculate the actual length in millimeters Using the *Scale Interpretation* knowledge point $$ \begin{aligned} &\text{Actual Length} = \text{Plan Measurement} \times 50 \ &\text{Actual Length} = 78\text{ mm} \times 50 = 3900\text{ mm} \end{aligned} $$ ## Convert the actual length to meters Using the *Metric Conversions* knowledge point $$ \begin{aligned} &1\text{ m} = 1000\text{ mm} \ &\text{Actual Length in meters} = \frac{3900\text{ mm}}{1000} = 3.9\text{ m} \end{aligned} $$

a. 390mm

b. 78cm

c. 7.8m

d. 3.9m

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Floor Plan Scales" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and scale

Calculate the actual length in millimeters

Convert the actual length to meters

Answer: