A flag is 2 feet by 3 feet. I want to enlarge the flag so that the longest side is 15 feet. How long should the shorter side of new flag be to be proportional to the smaller flag?

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

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (