A rectangular field is enclosed by 360 feet of fencing. What is the length, in feet, of the field if its length is 6 feet more than its width?
width --- x ft
length --- x+6 ft
2(x + x+6) = 360
solve for x
183
90
To find the length of the field, we can set up a system of equations based on the given information.
Let's assume that the width of the field is "x" feet.
According to the problem, the length of the field is 6 feet more than its width, so the length can be represented as "x + 6" feet.
Now we can set up an equation for the perimeter (or total length) of the fencing:
Perimeter = 2 * (Length + Width)
Since we are given that the perimeter is 360 feet, we can substitute these values into the equation:
360 = 2 * (x + 6 + x)
Rearranging the equation by combining like terms:
360 = 2 * (2x + 6)
Simplifying further:
360 = 4x + 12
Subtracting 12 from both sides:
348 = 4x
Dividing both sides by 4:
x = 87
So the width of the field is 87 feet.
Since the length is 6 feet more than the width, the length would be:
Length = Width + 6
Length = 87 + 6
Length = 93
Therefore, the length of the field is 93 feet.