A rectangular field is to be enclosed with 1200 ft. of fencing. If the length of the field is 60 ft. longer than the width, then how wide is the field?
ANSWERED PLEAS
To find the width of the rectangular field, we can start by setting up some equations based on the given information.
Let's assume that the width of the field is x ft. Since the length of the field is 60 ft longer than the width, the length would be x + 60 ft.
Now, we know that the perimeter of a rectangle is the sum of all sides. In this case, the perimeter of the field is given as 1200 ft.
So, we can set up an equation:
2(length) + 2(width) = perimeter
Substituting the values we know:
2(x + 60) + 2(x) = 1200
Simplifying the equation:
2x + 120 + 2x = 1200
4x + 120 = 1200
4x = 1080
x = 1080/4
x = 270
Therefore, the width of the field is 270 ft.