A scale drawing has a scale of 1/4in.:6ft. Find the length on the drawing for each actual length.
12. 18ft
13. 66ft
14. 204ft
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(.25 in / 6 ft) is our conversion factor
18 ft (.25 in/6 ft) = .75 in
66 (.25/6) = 11/4
204 (.25/6) =
5 8 6
To find the length on the drawing for each actual length, we can use the given scale of 1/4in.:6ft. Let's break down the steps to get the answer for each question:
12. 18ft:
First, we need to convert the given actual length from feet to inches since the scale is in inches. To do this, we multiply 18ft by 12 inches per foot:
18ft * 12in/ft = 216in
Now that we have the actual length in inches, we can find the length on the drawing by using the scale. The scale ratio is 1/4in.:6ft, which means that for every 1/4 inch on the drawing, it represents 6 feet in real life.
Let's set up a proportion to solve for the length on the drawing (x):
1/4in / x = 6ft / 216in
Cross-multiplying:
1/4in * 216in = 6ft * x
54in = 6ft * x
Dividing both sides by 6ft:
54in / 6ft = x
9in = x
Therefore, the length on the drawing for 18ft is 9 inches.
13. 66ft:
Following the same steps as above:
Convert 66ft to inches:
66ft * 12in/ft = 792in
Setting up the proportion:
1/4in / x = 6ft / 792in
Cross-multiplying:
1/4in * 792in = 6ft * x
198in = 6ft * x
198in / 6ft = x
33in = x
Therefore, the length on the drawing for 66ft is 33 inches.
14. 204ft:
Convert 204ft to inches:
204ft * 12in/ft = 2448in
Setting up the proportion:
1/4in / x = 6ft / 2448in
Cross-multiplying:
1/4in * 2448in = 6ft * x
612in = 6ft * x
612in / 6ft = x
102in = x
Therefore, the length on the drawing for 204ft is 102 inches.