Answer:
18 feet
Step-by-step explanation:
Let the height be x
We are given that The side lengths of the state flag of Colorado are in the ratio 2:3.
Length: Height = 2:3
Length of the flag is 12 feet long
Length : Height = 12:x
So, ATQ
2:3::12:x
[tex]\frac{2}{3}=\frac{12}{x}[/tex]
[tex]x=\frac{12 \times 3}{2}[/tex]
[tex]x=18[/tex]
Hence it’s height is 18 feet
Based on the ratio expression given the height of the Colorado state flag would be 18 feets long.
Length to height ratio = 2 : 3
Length = 2 ÷ (2 + 3) × sum of side length
12 = (2/5) × sum of side length
12 = 0.4(sum of side length)
Divide both sides by 0.4
Sum of side length = 30 feets
The height of the flag = Sum of side length - length
Height of flag = 30 - 12 = 18 feets
Therefore, the height of the flag is 18 feets
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