Question

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 feild

Answer 1

Let's call the width of the field x yards.

According to the given information, the length of the field is 67 yards greater than the width. Therefore, the length of the field is x + 67 yards.

The perimeter of a rectangle is given by the formula P = 2(length + width). In this case, the perimeter is given as 346 yards. So we can write:

346 = 2(x + x + 67)
346 = 2(2x + 67)
346 = 4x + 134
4x = 346 - 134
4x = 212
x = 212 / 4
x = 53

So, the width of the football field is 53 yards.

The length of the field is x + 67 = 53 + 67 = 120 yards.

Therefore, the length of the football field is 120 yards and the width is 53 yards.