Final answer:
The actual length of the green line is found by multiplying the scale length by the scale factor, which gives us the result of 10.5 feet.
Step-by-step explanation:
To solve the scale drawing problem, we will need to use the given scale to convert the length of the green line from the scale measurement to the actual measurement. The scale tells us that 2 cm on the drawing equals 5 feet in reality. To find the actual length of the green line, we first calculate the scale factor and then apply it to the green line's scale length.
The scale factor can be found by dividing the actual length unit by the scale length unit, which is 5 feet ÷ 2 cm. Simplifying this ratio gives us a scale factor of 2.5 feet ÷ 1 cm.
Now, we apply the scale factor to the green line. The scale length of the green line is given as 4.2 cm:
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- Actual length = Scale length x Scale factor
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- Actual length = 4.2 cm x (2.5 feet/cm)
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- Actual length = 10.5 feet
Therefore, the actual length of the green line is 10.5 feet.