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Mathematics
Daniel drew a scale drawing of a house and its lot. He used the scale 5 millimeters = 1 =1 meter: What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
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The scale of Daniel’s drawing is 5 millimeters = 1 =1 meter. We need to find the scale factor, which is the ratio of the length in the drawing to the actual length.
To find the scale factor, we can set up a proportion with the given scale:
length in drawing actual length = 5 mm 1 m ("length in drawing")/("actual length")=(5" mm")/(1" m")
To simplify, we need to convert units so that we have the same units in the numerator and denominator:
length in drawing actual length = 5 mm 1000 mm ("length in drawing")/("actual length")=(5" mm")/(1000" mm")
Simplifying the fraction gives:
length in drawing actual length = 1 200 ("length in drawing")/("actual length")=(1)/(200)
Therefore, the scale factor is 1 200 (1)/(200).
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