Sarah’s mother has a miniature village modeled after her hometown. The model is 10 feet long and 7 feet wide. The actual village is 7 miles long. What is the Village actual width? If necessary, round to the nearest 10th of a mile.
To find the actual width of the village, we can setup a proportion using the information given.
We know that the model village is 10 feet long and 7 feet wide, and the actual village is 7 miles long. Let's assign variables to the width of the actual village.
Let's use "x" to represent the actual width of the village.
Now, we can set up the proportion:
Model Length / Model Width = Actual Length / Actual Width
10 feet / 7 feet = 7 miles / x
To solve for x, we can cross multiply:
10 * x = 7 * 7
10x = 49
Dividing both sides by 10:
x = 49 / 10
x ≈ 4.9
Therefore, the width of the actual village is approximately 4.9 miles.