Answer:
Length and width of 85 yards will give the same perimeter and larger area.
Step-by-step explanation:
Let x represent length and y represent width of rectangle.
The perimeter of the rectangle would be
.
We have been given that a rectangular lot is 110 yard long and 60 yards wide. The perimeter of the given rectangle would be 2 times the width and length.


Upon equating both perimeters, we will get:

Divide both sides by 2:


We know that area of rectangle is length times width.



Now, we will take the derivative of area function as:

Now we will equate derivative with 0 and solve for x.




Therefore, the length of rectangle would be 85 yards.
Upon substituting
in equation
, we will get:

Therefore, the width of rectangle would be 85 yards.
This means that we will get a square. Since each square is a rectangle, therefore, length and width of 85 yards will give the same perimeter and larger area.
We can verify our answers.



