We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 18 inches long.
First of all we will find the perimeter of our given triangle.
We know that perimeter of a triangle is sum of its three side lengths. Since each side of triangle has same measure, so its perimeter would be 3 times its side length.
[tex]\text{Perimeter of triangle}=3\times 18\text{ in}=54\text{ in}[/tex]
We know that 1 feet is equal to 12 inches.
To convert 54 inches into feet, we will divide 54 by 12.
[tex]\frac{54}{12}=\frac{9}{2}[/tex]
Since Maria has [tex]\frac{3}{2}[/tex] foot of trim left, so we will add it to perimeter of triangle to get the length of trim when she started.
[tex]\frac{3}{2}+\frac{9}{2}=\frac{3+9}{2}=\frac{12}{2}=6[/tex]
Therefore, the length of trim was 6 feet, when Maria started.