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Emily works at a horse camp and makes a scale drawing of the barn. The weather stable in her drawing is 15 inches, and the length is 18 inches. The actual stable at the stables is 10 feet. What is the actual length of the stable?

a) 5 feet
b) 7.5 feet
c) 10 feet
d) 15 feet

User Joao Paulo
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1 Answer

2 votes

Final answer:

Using the scale determined from the given measurements (8 inches per 1 inch of drawing), the actual length of the stable is calculated to be 12 feet. However, this answer is not listed among the provided options, suggesting an error in the question.

Step-by-step explanation:

To figure out the actual length of the stable at the horse camp that Emily works at, we first need to determine the scale used in her drawing. Since the weather stable in the drawing is 15 inches and corresponds to an actual length of 10 feet, we can set up a proportion to find the scale.

The scale can be determined by dividing the actual length by the length in the drawing: Scale = Actual length / Drawing length = 10 feet / 15 inches. We must keep the units consistent, so, converting feet to inches gives us 120 inches for 10 feet (as there are 12 inches in a foot). So the scale becomes 120 inches / 15 inches = 8 inches / 1 inch.

Now that we know the scale, we can use it to find the actual length of the stable. Emily's drawing shows a length of 18 inches. Using the scale, the actual length is 18 inches * 8 inches/inch = 144 inches. Converting this back into feet (since there are 12 inches in a foot), we get 144 inches / 12 inches/foot = 12 feet.

Therefore, the actual length of the stable is 12 feet, which is not an option provided in the question, indicating that there might be a mistake in either the question's options or its description.

User Alex Worden
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