The area of the blue rectangle is 8/11 of the flag
Area
The area of a shape is the amount of space it occupies
The width is given as:
[tex]Width = \frac 25[/tex]
Blue region
The blue region of the American flag has a dimension of 8 by 11 stars.
So, we have:
[tex]8 : 11 = x : \frac 25[/tex]
Where x represents the length of the blue region.
Express the ratio as fractions
[tex]\frac{8 }{ 11} = x \div \frac 25[/tex]
Multiply both sides by 2/5
[tex]\frac{8 }{ 11} \times \frac 52= x[/tex]
[tex]\frac{20}{ 11} = x[/tex]
Rewrite as:
[tex]x =\frac{20}{ 11}[/tex]
The area is then calculated as:
[tex]Area =\frac{20}{ 11} \times \frac 25[/tex]
[tex]Area =\frac{40}{ 55}[/tex]
Simplify
[tex]Area =\frac{8}{ 11}[/tex]
Hence, the area of the blue rectangle is 8/11 of the flag
Read more about areas at:
https://brainly.com/question/14137384
