Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. What was the length of the trim when she started? Enter your answer in yards.

Respuesta :

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is [tex]3\times 21=63[/tex] inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = [tex]\frac{63}{12}[/tex]  feet = 5.25 feet.

We are also told that Maria has [tex]\frac{3}{4}[/tex] foot of trim left, so total length of trim would be trim used plus trim left that is [tex]5.25+\frac{3}{4}=5.25+0.75=6[/tex] feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = [tex]\frac{6}{3}[/tex] yards = 2 yards

Therefore, the length of the trim was 2 yards.