Answer:
length: 190 yd.
width: 50 yd
Explanation:
To find the perimeter, we can do length + length + width + width.
Since we know the length, is 10 yards less than 4 times the width, we can turn that into an equation:
length = (4 × width) - 10
Now, we can put it all in an equation, solving for the width.
width + width + (4 × width) - 10 + (4 × width) - 10 = 480 yd
Replace "width" with x.
x + x + (4x) - 10 + (4x) - 10 = 480 yd
Remove the parenthesis.
x + x + 4x - 10 + 4x - 10 = 480 yd
Combine like terms.
10x -20 = 480 yd.
Add 20 to both sides to leave 10x alone.
10x = 500 yd.
Divide both sides by 10 to find x (width).
x = 50 yd.
width = 50 yd.
Now that we know the width, we can find the length.
(4 × 50) - 10 = length
200 - 10 = length
length = 190 yd.
Hope this helps!