Answer:
width = 150 yards
length = 200 yards
Step-by-step explanation:
Using the information given to us, we can make the following two equations:
2L + 2W = 700
L = W + 50
where L is the length in yards and W is the width in yards. This could treat these two equations as a system of linear equations. There are multiple ways to solve a system of linear equations, but I am going to solve this by substitution. Before doing that, I am first going to simplify the first equation, as it will make solving the system easier.
2L + 2W = 700
Divide both sides by 2.
L + W = 350
Since L = W + 50, we can substitute W + 50 for L in the equation L + W = 700.
(W + 50) + W = 350
2W + 50 = 350
2W = 300
W = 150
Now that we found what W is, we can solve for L by plugging 150 into either one of the equations. I am going to plug it into the equation L = W + 50.
L = 150 + 50
L = 200
Now we found what L is. So now we know that the width is 150 yards and the length is 200 yards.
I hope you find my answer and explanation helpful. Happy studying. :)
