The length of a football field is 67 yards greater than the width. The perimeter of the field is 346 yards. Find the length and width of the football field. Show all your work to solve.(3 points)
Let the width of the football field be x yards.
According to the given information, the length of the football field is x + 67 yards.
The perimeter of a rectangle is given by the formula: perimeter = 2(length + width)
So, we can write the equation:
346 = 2(x + 67 + x)
Simplify the equation:
346 = 2(2x + 67)
346 = 4x + 134
212 = 4x
x = 53
So, the width of the football field is 53 yards.
Now, to find the length:
Length = x + 67
Length = 53 + 67
Length = 120
Therefore, the length of the football field is 120 yards and the width is 53 yards.