Answer:
10 feet
Step-by-step explanation:
Given
Dimension = 2 feet by 3 feet
Required
Determine the length of the short side if the longer side is scaled to 15 feet
Represent the before and after enlargement as a ratio:
Before Enlargement
Ratio = 2 ft : 3ft
After Enlargement
Ratio = x : 15 ft
Where x represents the length of the shorter side
Since they're both proportional, their ratio must be equal.
So, we have:
2 : 3 = x : 15
Convert ratio to fraction
⅔ = x/15
Multiply both sides by 15
15 * ⅔ = 15 * x/15
15 * ⅔ = x
30/3 = x
10 = x
x = 10
Hence, the length of the shorter side must be 10 feet
