Foxythepirate0984
  • Foxythepirate0984
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.
Mathematics
katieb
  • katieb
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Foxythepirate0984
  • Foxythepirate0984
jim_thompson5910
  • jim_thompson5910
you agree that the `4 unit by 8 unit shaded rectangle` has an area of 8*4 = 32 square units, right?
Foxythepirate0984
  • Foxythepirate0984
i believe so

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jim_thompson5910
  • jim_thompson5910
are you able to solve the equation `32k = 288` for k ?
Foxythepirate0984
  • Foxythepirate0984
i cant.
Foxythepirate0984
  • Foxythepirate0984
but ill try
jim_thompson5910
  • jim_thompson5910
divide both sides by 32
Foxythepirate0984
  • Foxythepirate0984
128 and 256
jim_thompson5910
  • jim_thompson5910
288/32 = ??
Foxythepirate0984
  • Foxythepirate0984
9
jim_thompson5910
  • jim_thompson5910
now we take the square root of this to get sqrt(9) = 3
jim_thompson5910
  • jim_thompson5910
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
Foxythepirate0984
  • Foxythepirate0984
so 1:3
jim_thompson5910
  • jim_thompson5910
yes

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