Math Problem Statement
A drawing of a basement uses the same scale as the Example. The basement is 28 ft wide and 35 ft long. How wide and long is the drawing? Show your work.
Solution
To solve this problem, we'll first need to know the scale used in the drawing of the basement. Since the scale isn't provided in the problem, I'll assume that it was given in the "Example" that you mentioned. I'll go through the steps of solving the problem assuming we have a scale, but if you provide the specific scale, I can give you a precise answer.
General Steps to Solve the Problem:
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Determine the Scale from the Example: Let's assume the scale is something like 1 inch = 4 feet. (Note: Replace this with the actual scale when you have it.)
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Convert the Real Dimensions to Drawing Dimensions:
- Width of the Basement:
- Length of the Basement:
Final Answer (assuming a 1 inch = 4 feet scale):
- Width of the Drawing: 7 inches
- Length of the Drawing: 8.75 inches
If you provide the actual scale from the example, I can recalculate these dimensions accurately.
Would you like more details or have any questions? Here are 5 related questions you can explore:
- What is the exact scale used in the example?
- How would the drawing dimensions change if the scale were 1 inch = 2 feet?
- If the basement were 50 feet long, what would the drawing's length be using the same scale?
- How would you calculate the area of the basement and the drawing using this scale?
- If the drawing needed to fit on an 8.5" x 11" sheet of paper, what would the maximum possible scale be?
Tip: Always double-check the scale given in examples or problems to ensure accurate conversions from real-life dimensions to drawing dimensions.
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Math Problem Analysis
Mathematical Concepts
Geometry
Proportions
Scale Drawing
Formulas
Drawing Dimension = Actual Dimension / Scale Factor
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8