Edwards Alexander
05/09/2023 · Senior High School
Emily works at a horse camp and makes a scale drawing of the barn. The width of a stable in her drawing is 15 in, and the length is 18 in. The actual Width of the stable is 5 ft . What is the actual length of the stable?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the actual length of the stable, we can use the scale of the drawing. The scale is the ratio of the length of the drawing to the actual length.
Given:
- Width of the stable in the drawing = 15 in
- Length of the stable in the drawing = 18 in
- Actual width of the stable = 5 ft
First, we need to convert the actual width from feet to inches because the drawing is in inches. There are 12 inches in a foot, so:
Actual width in inches = 5 ft * 12 in/ft = 60 in
Now we can set up a proportion to find the actual length of the stable:
Scale of width = Drawing width / Actual width
Scale of length = Drawing length / Actual length
Since the scale of width and the scale of length are the same, we can write:
Drawing width / Actual width = Drawing length / Actual length
Substitute the known values:
15 in / 60 in = 18 in / Actual length
Now solve for the actual length:
Actual length = (18 in * 60 in) / 15 in
Actual length = 1080 in / 15 in
Actual length = 72 in
So the actual length of the stable is 72 inches. If you want to convert this back to feet:
Actual length in feet = 72 in / 12 in/ft = 6 ft
Therefore, the actual length of the stable is 6 feet.
Quick Answer
The actual length of the stable is 6 feet.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit