Hello, thank you for taking the time to post your question!
If you let “L” represent Length and “W” represent Width, then the equation becomes
L = 2W + 7 since it says that the length is 7 more than twice the width
A = L x W = (2W + 7)W = 2W^2 + 7W
So the equation we’re trying to solve for the value of the width is
2W^2 + 7W = 319
2W^2 + 7W – 319 = 0
From there then I would use the quadratic formula or some type of technology to solve for the underlying value of W. It should end up being
W = 11, meaning that the Width of the rectangle is 11 yards.
Then L = 2(11) + 7 = 22 + 7 = 29, meaning that the Length of the rectangle is 29 yards
I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)
