Answer: Width: 56 yards, Length: 108 yards
Step-by-step explanation:
What we know:
- Perimeter is 328 yards
- The length is 4 less than double the width
In this answer, I will use w as the variable for width.
Find the equation for the length.
The length of the field is double the width, 2w, minus 4.
We get: 2w - 4
A rectangle has four sides, two for width, two for length. So now we need to add width to width and length to length
Length: (2w - 4) + (2w - 4) = 4w - 8
Width: w + w = 2w
To find perimeter, you need to add all sides. So now we add our length and width
4w - 8 + 2w = 6w - 8
Now that we have our final equation, we need to solve for w.
6w - 8 = 328
Add 8 to both sides.
6w - 8 + 8 = 328 + 8
Combine like terms.
6w = 336
Divide 6 from both sides.
w = 56
The width is 56, now that we have solved w, we can plug it into our length equation
2(56) - 4 = 108
The length is 108.
Answer: 56 yards x 108 yards (width x length)
To check your work, you can easily add up all the sides and see if it matches the perimeter given.
108 + 108 + 56 + 56 = 328
I hope this helped!
