Problema Solution
The ratio of the length (including the end zone) to the width of an NFL football field is 2.25. If the perimeter of the field is 1040 feet, what are the dimensions of the field?
Answer provided by our tutors
Let
x = the length
y = the width
The ratio of the length to the width is 2.25 means:
x : y = 2.25
x = 2.25y
The perimeter is 1040 means:
2x + 2y = 1040
We have the following system of equations:
x = 2.25y
2x + 2y = 1040
........
click here to see the system of equations solved for x and y
........
x = 360 ft
y = 160 ft
The dimensions of the field are: the length is 360 ft while the width is 160 ft.