Question

The perimeter of a college athletic field is 92 meters and the length is 14 meters more than the width. Find the length and width.

What is the width? And what is the length? a. Width: 16 meters, Length: 30 meters
b. Width: 20 meters, Length: 25 meters
c. Width: 18 meters, Length: 28 meters
d. Width: 14 meters, Length: 36 meters

Answer 1

The width of the college athletic field is 16 meters and the length is 30 meters.

Step-by-step explanation:

To find the dimensions of the college athletic field, we need to solve a system of equations. Let's assume that the width of the field is 'w' meters. According to the given information, the length of the field is 14 meters more than the width, so it can be represented as 'w + 14' meters.

The perimeter of a rectangle is calculated by adding twice the length and twice the width, so we can set up the equation: 2(w + 14) + 2w = 92.

Simplifying the equation, we get 4w + 28 = 92. Next, we subtract 28 from both sides: 4w = 64. Finally, we divide both sides by 4: w = 16 meters.

Thus, the width of the college athletic field is 16 meters, and the length can be calculated as 16 + 14 = 30 meters.