Math Problem Statement
Drag the tiles to the correct boxes to complete the pairs. Match the scale and the actual area to the area of the corresponding scale drawing. scale: 1 inch to 8 feet actual area: 256 square feet scale: 1 inch to 4 feet actual area: 128 square feet scale: 1 inch to 7 feet actual area: 147 square feet scale: 1 inch to 5 feet actual area: 225 square feet area of scale drawing scale and actual area scale drawing area: 4 square inches
scale drawing area: 8 square inches
scale drawing area: 9 square inches
scale drawing area: 3 square inches
Solution
Let's match the scales and actual areas to the areas of the corresponding scale drawings based on the calculations provided earlier:
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Scale: 1 inch to 8 feet, Actual area: 256 square feet
- Scale drawing area: 4 square inches
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Scale: 1 inch to 4 feet, Actual area: 128 square feet
- Scale drawing area: 8 square inches
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Scale: 1 inch to 7 feet, Actual area: 147 square feet
- Scale drawing area: 3 square inches
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Scale: 1 inch to 5 feet, Actual area: 225 square feet
- Scale drawing area: 9 square inches
So, the correct pairs are:
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Scale: 1 inch to 8 feet, Actual area: 256 square feet
- Scale drawing area: 4 square inches
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Scale: 1 inch to 4 feet, Actual area: 128 square feet
- Scale drawing area: 8 square inches
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Scale: 1 inch to 7 feet, Actual area: 147 square feet
- Scale drawing area: 3 square inches
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Scale: 1 inch to 5 feet, Actual area: 225 square feet
- Scale drawing area: 9 square inches
Do you want details or have any questions?
Here are 5 questions you can ask next:
- How do you calculate the perimeter of a scale drawing?
- What is the difference between linear scaling and area scaling?
- How do you convert between different units in scale drawings?
- Can you provide an example of using scale drawings in real-life scenarios?
- How do you determine the scale factor if only the areas of the actual object and the scale drawing are known?
Tip: Always double-check your calculations, especially when squaring or taking square roots, to ensure the accuracy of area conversions in scale drawings.
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Math Problem Analysis
Mathematical Concepts
Scale drawings
Area conversion
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8