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Foxythepirate0984

  • one year ago

A 4 unit by 8 unit shaded rectangle is a scale drawing of a rectangle whose area is 288 square feet. What is the scale factor of the drawing, as a fraction? Recall: Scale factor is the ratio of scale drawing: actual object. In this case ignore the units.

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  1. Foxythepirate0984
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    you agree that the `4 unit by 8 unit shaded rectangle` has an area of 8*4 = 32 square units, right?

  3. Foxythepirate0984
    • one year ago
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    i believe so

  4. jim_thompson5910
    • one year ago
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    are you able to solve the equation `32k = 288` for k ?

  5. Foxythepirate0984
    • one year ago
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    i cant.

  6. Foxythepirate0984
    • one year ago
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    but ill try

  7. jim_thompson5910
    • one year ago
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    divide both sides by 32

  8. Foxythepirate0984
    • one year ago
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    128 and 256

  9. jim_thompson5910
    • one year ago
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    288/32 = ??

  10. Foxythepirate0984
    • one year ago
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    9

  11. jim_thompson5910
    • one year ago
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    now we take the square root of this to get sqrt(9) = 3

  12. jim_thompson5910
    • one year ago
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    the scale factor is 3 what does this mean? it means that 1 unit on the paper is equal to 3 feet in the real world

  13. Foxythepirate0984
    • one year ago
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    so 1:3

  14. jim_thompson5910
    • one year ago
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    yes

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