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:

  1. Scale: 1 inch to 8 feet, Actual area: 256 square feet

    • Scale drawing area: 4 square inches
  2. Scale: 1 inch to 4 feet, Actual area: 128 square feet

    • Scale drawing area: 8 square inches
  3. Scale: 1 inch to 7 feet, Actual area: 147 square feet

    • Scale drawing area: 3 square inches
  4. Scale: 1 inch to 5 feet, Actual area: 225 square feet

    • Scale drawing area: 9 square inches

So, the correct pairs are:

  1. Scale: 1 inch to 8 feet, Actual area: 256 square feet

    • Scale drawing area: 4 square inches
  2. Scale: 1 inch to 4 feet, Actual area: 128 square feet

    • Scale drawing area: 8 square inches
  3. Scale: 1 inch to 7 feet, Actual area: 147 square feet

    • Scale drawing area: 3 square inches
  4. 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:

  1. How do you calculate the perimeter of a scale drawing?
  2. What is the difference between linear scaling and area scaling?
  3. How do you convert between different units in scale drawings?
  4. Can you provide an example of using scale drawings in real-life scenarios?
  5. 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