Problem 338 - Prealgebra

Question

In the following exercises, solve. NCAA football According to NCAA regulations, the dimensions of a rectangular football field must be 360 feet by 160 feet. What is the area of the football field?

Step-by-Step Solution

Answer

57600 square feet

Step 1: Understand the Problem

The problem asks for the area of a rectangular football field with given dimensions. The length is 360 feet and the width is 160 feet.

Step 2: Recall the Formula for Area

The formula to find the area of a rectangle is given by \[ \text{Area} = \text{Length} \times \text{Width} \]

Step 3: Plug in the Values

Substitute the given dimensions into the formula: \[ \text{Area} = 360\text{ ft} \times 160\text{ ft} \]

Step 4: Perform the Multiplication

Calculate the multiplication to find the area: \[ \text{Area} = 57600\text{ ft}^2 \]

Step 5: Conclusion

The area of the football field is 57600 square feet.

Key Concepts

NCAA football field dimensions

An NCAA football field is a large rectangular area designed for football games played under collegiate regulations. According to NCAA standards, the field is 360 feet long and 160 feet wide. This helps ensure uniformity in play areas across different colleges and enhances fair play.

rectangular area calculation

To calculate the area of a rectangle, you need to know its length and width. The formula for the area of a rectangle is simple and essential in geometry. It's given by \[ \text{Area} = \text{Length} \times \text{Width} \]. By multiplying these two dimensions, you get the total space within the rectangle which is important in various real-world applications.

multiplication in geometry

Multiplication in geometry often involves finding the area, volume, or other measurements by combining various dimensions. In this context, you multiply the length by the width to determine the size of a rectangular area. For the given football field, multiplying 360 feet by 160 feet gives an area of \[ 360 \text{ ft} \times 160 \text{ ft} = 57600 \text{ ft}^2 \]. This straightforward approach helps in calculating spaces and constructing geometric shapes.