The length of the banner if Amira uses all of the blue paint is [tex]\frac{6}{11} \text { yards. }[/tex]
Solution:
Given, Amira is painting a rectangular banner [tex]2\frac{3}{4}[/tex] yards wide on a wall in the cafeteria.
The banner will have a blue background
Amira has enough blue paint to cover [tex]1\frac{1}{2}[/tex] square yards of wall.
We have to find the length of the banner if Amira uses all of the blue paint.
Now we know that, area of rectangle = length x width
[tex]\begin{array}{l}{\text { Then, } 1 \frac{1}{2}=\text { length } \times 2 \frac{3}{4}} \\\\ {\frac{1 \times 2+1}{2}=\frac{2 \times 4+3}{4} \times \text { length }} \\\\ {\frac{11}{4} \text { length }=\frac{3}{2}} \\\\ {\text { Length }=\frac{3}{2} \times \frac{4}{11}} \\\\ {\text { Length }=\frac{6}{11}}\end{array}[/tex]
Hence, the length of the rectangle is [tex]\frac{6}{11}[/tex] yards.
