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Answer :
To solve this problem using a proportion, you need to compare the scale on the drawing to the actual size of the object.
The scale given is 1 inch on the drawing equals 8 feet in reality. You are asked to find out how long the object will be on the drawing if its real length is 42 feet.
Here's how you can set up the proportion:
[tex]\frac{1 \, \text{inch on drawing}}{8 \, \text{feet actual}} = \frac{x \, \text{inches on drawing}}{42 \, \text{feet actual}}[/tex]
Where [tex]x[/tex] is the unknown length on the drawing that we need to find.
To solve for [tex]x[/tex], cross-multiply:
[tex]1 \, \text{inch} \times 42 \, \text{feet} = 8 \, \text{feet} \times x \, \text{inches}[/tex]
This simplifies to:
[tex]42 = 8x[/tex]
Now, divide both sides by 8 to isolate [tex]x[/tex]:
[tex]x = \frac{42}{8}[/tex]
[tex]x = 5.25[/tex]
So, the length of the object on the drawing is 5.25 inches.
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