SOLUTION: A scale drawing is to be made of a building with dimensions of 80' × 144'. What would the dimensions be if a scale of 1/8 in = 1 ft is used?
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Question 1138110: A scale drawing is to be made of a building with dimensions of 80' × 144'. What would the dimensions be if a scale of 1/8 in = 1 ft is used?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1/8 inches on paper corresponds to 1 foot in real life, which is what they mean when they write "1/8 in = 1 ft".
Multiply both sides by 80 so that the "1 ft" turns into "80 ft"
1/8 in = 1 ft
80*1/8 in = 80*1 ft
80/8 in = 80 ft
10 in = 80 ft
Telling us that 10 inches on paper correspond to 80 feet in real life.
Now go back to the first equation. Multiply both sides by 144 so that the "1 ft" turns into "144 ft"
1/8 in = 1 ft
144*1/8 in = 144*1 ft
144/8 in = 144 ft
18 in = 144 ft
Telling us that 18 inches on paper correspond to 144 feet in real life.
The real life building is 80 feet by 144 feet.
The scale drawing of the building on paper is 10 inches by 18 inches
note:
18 inches = 12 inches + 6 inches
18 inches = 12/12 inches + 6/12 inches
18 inches = 1 ft + 1/2 inches
18 inches = 1 ft + 0.5 ft
18 inches = 1.5 ft
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