Question

An american football field is a rectangle with a perimeter of 1040 feet. the length is 200 feet more than the width. find the width and length of the rectangular field

Answer 1

The width of the rectangular field is 160 feet and the length is 360 feet.

Step-by-step explanation:

Let's start by assigning variables to the width and length of the rectangle. Let w be the width and l be the length.

We know that the perimeter of the rectangle is 1040 feet, so we can write the equation: 2w + 2l = 1040.

It is also given that the length is 200 feet more than the width, so we can write another equation: l = w + 200.

Now we can substitute the second equation into the first equation and solve for w:

2w + 2(w + 200) = 1040
2w + 2w + 400 = 1040
4w + 400 = 1040
4w = 640
w = 160

Now we can substitute the value of w back into the second equation to find the length:
l = 160 + 200 = 360

Therefore, the width of the rectangle is 160 feet and the length is 360 feet.