A rectangular field is to be enclosed with 1130 ft of fencing. If the

length of the field is 65 ft longer than the width, then how long is the
field?
A) 380 ft
B) 315 ft
C) 335 ft
D) 250 ft

1130=2L+2W

but L=w+65
1130=2(W+65)+2W solve for W, and for L, add 65

To find the length of the field, we first need to set up an equation based on the given information.

Let's assume the width of the rectangular field is "w" ft.
According to the given information, the length of the field is 65 ft longer than the width. So, the length would be (w + 65) ft.

Now, let's calculate the perimeter of the rectangular field using the given fencing.
Perimeter = 2(length + width)

Since we know the perimeter is 1130 ft, we can write:
1130 = 2((w + 65) + w)

Simplifying the equation:
1130 = 2(2w + 65)
1130 = 4w + 130
1000 = 4w
w = 250

Therefore, the width of the field is 250 ft.

To find the length, we substitute the value of the width (w) into the equation for the length:
Length = Width + 65
Length = 250 + 65
Length = 315 ft

Therefore, the correct answer is option B) 315 ft.