Answer: 9 yards
Step-by-step explanation:
Let's make equations to represent each situation.
The first equation says that the width is 3 less than 4 times the length, so let's put that into an equation:
[tex]w=4l-3[/tex]
Next, we can use the perimeter equation that [tex]P=2l+2w[/tex]. Since we know the perimeter is 24 yards, we can replace it for P.
[tex]24=2l+2w[/tex]
Now that we have two equations with two variables, we can use either elimination or substitution to solve them. Since w is already solved for in the first equation, let's plug it in the second equation.
[tex]24=2l+2(4l-3)\\ 12=l+4l-3\\ 12=5l-3\\ 15=5l\\ l=3[/tex]
Now, let's put l back into the first equation to solve for w.
[tex]w=4(3)-3\\ w=12-3\\ w=9[/tex]
The width is 9 yards
