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A house blueprint uses a scale of 1.5 inches : 4 feet. The garage is 22 feet deep and 25 feet wide. What are the dimensions of the garage on the blueprint?

User Deepak Ror
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1 Answer

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Final answer:

To calculate the garage dimensions on the blueprint with a scale of 1.5 inches : 4 feet, you multiply the actual dimensions by the scale factor of 0.375 inches per foot, resulting in 8.25 inches deep and 9.375 inches wide.

Step-by-step explanation:

To find the dimensions of the garage on the blueprint using the scale of 1.5 inches : 4 feet, we first need to determine the scale factor. The scale factor is the ratio of the scaled measurement on the blueprint to the actual measurement. Given the scale of 1.5 inches : 4 feet, the scale factor can be calculated by dividing both parts of the scale by 4 (the number of feet), which gives us the ratio of 1.5 inches to 4 feet or 1.5/4 = 0.375 inches per foot.

The garage is 22 feet deep and 25 feet wide. To convert the actual dimensions to blueprint dimensions:

  • Depth: 22 feet × 0.375 inches/foot = 8.25 inches
  • Width: 25 feet × 0.375 inches/foot = 9.375 inches

Therefore, the dimensions of the garage on the blueprint are 8.25 inches deep and 9.375 inches wide.

User NFern
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