SOLUTION: Vivian measured a house and its lot and made a scale drawing. The porch, which is 16 feet wide in real life, is 4 inches wide in the drawing. What scale did Vivian use for the draw

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Vivian measured a house and its lot and made a scale drawing. The porch, which is 16 feet wide in real life, is 4 inches wide in the drawing. What scale did Vivian use for the draw      Log On

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Question 940841: Vivian measured a house and its lot and made a scale drawing. The porch, which is 16 feet wide in real life, is 4 inches wide in the drawing. What scale did Vivian use for the drawing?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
AL=Actual Length=16 feet
DL=Drawn Length=4 inches
Scale=AL/DL (units must have same dimension, i.e. feet and feet, not feet and inches)
First change DL units to feet:
DL=4+inches%281+foot%2F12+inches%29 Note numerator and denominator of conversion factor are equivalent, so we are multiplying by 1, which does not change the value.
DL=4+foot%2F12 Divide out the inches
DL=1%2F3+foot Simplify
Scale =AL/DL=16 feet/1/3 foot=48 Note: Scale has no units
ANSWER Vivian's drawing scale is 48:1