Converting the Area to Square Yards

Oct 13, 2025 by pynkocean.com 129 views

Introduction

Understanding the Problem The problem requires finding the area of the top of a crate with given dimensions. To solve this problem, we need to understand the concept of area and how to calculate it. The area of a rectangle is given by the formula: Area = Length x Width.

Converting Units

Before we can calculate the area, we need to convert the units of the dimensions from yards to feet. Since there are 3 feet in a yard, we can convert the length and width of the crate as follows:

Length: $\frac{3}{4}$ yard = $\frac{3}{4}$ x 3 feet = $\frac{9}{4}$ feet
Width: $\frac{2}{3}$ yard = $\frac{2}{3}$ x 3 feet = 2 feet

Calculating the Area

Now that we have the dimensions in feet, we can calculate the area of the top of the crate using the formula: Area = Length x Width.

# Import necessary modules
import math
length = 9/4  # Length of the crate in feet
width = 2  # Width of the crate in feet
area = length * width
print("The area of the top of the crate is:", area, "square feet")

Converting the Area to Square Yards

Since the problem asks for the area in square yards, we need to convert the area from square feet to square yards. There are 9 square feet in a square yard, so we can convert the area as follows:

Area in square feet: $\frac{9}{4}$ x 2 = $\frac{18}{4}$ = 4.5 square feet
Area in square yards: 4.5 square feet / 9 = $\frac{1}{2}$ square yard

Conclusion

In conclusion, the area of the top of the crate is $\frac{1}{2}$ square yard.

Additional Information

The crate is 2 feet tall, which means the height of the crate is not relevant to the calculation of the area of the top.
The area of the top of the crate is a two-dimensional measurement, which means it does not have a length or width in the classical sense.
The area of the top of the crate can be used to calculate the volume of the crate, but that is a topic for another discussion.

Final Answer

The final answer is $\boxed{\frac{1}{2}}$ square yard.

Introduction

Converting Units

Before we can calculate the area, we need to convert the units of the dimensions from yards to feet. Since there are 3 feet in a yard, we can convert the length and width of the crate as follows:

Length: $\frac{3}{4}$ yard = $\frac{3}{4}$ x 3 feet = $\frac{9}{4}$ feet
Width: $\frac{2}{3}$ yard = $\frac{2}{3}$ x 3 feet = 2 feet

Calculating the Area

Now that we have the dimensions in feet, we can calculate the area of the top of the crate using the formula: Area = Length x Width.

# Import necessary modules
import math
length = 9/4  # Length of the crate in feet
width = 2  # Width of the crate in feet
area = length * width
print("The area of the top of the crate is:", area, "square feet")

Converting the Area to Square Yards

Since the problem asks for the area in square yards, we need to convert the area from square feet to square yards. There are 9 square feet in a square yard, so we can convert the area as follows:

Area in square feet: $\frac{9}{4}$ x 2 = $\frac{18}{4}$ = 4.5 square feet
Area in square yards: 4.5 square feet / 9 = $\frac{1}{2}$ square yard

Conclusion

In conclusion, the area of the top of the crate is $\frac{1}{2}$ square yard.

Additional Information

The crate is 2 feet tall, which means the height of the crate is not relevant to the calculation of the area of the top.
The area of the top of the crate is a two-dimensional measurement, which means it does not have a length or width in the classical sense.
The area of the top of the crate can be used to calculate the volume of the crate, but that is a topic for another discussion.

Final Answer

The final answer is $\boxed{\frac{1}{2}}$ square yard.

Q&A

Q: What is the area of the top of the crate?

A: The area of the top of the crate is $\frac{1}{2}$ square yard.

Q: How do I calculate the area of the top of the crate?

A: To calculate the area of the top of the crate, you need to multiply the length and width of the crate. The formula is: Area = Length x Width.

Q: What units should I use to measure the area of the top of the crate?

A: You can use either square feet or square yards to measure the area of the top of the crate. However, if the problem asks for the area in square yards, you need to convert the area from square feet to square yards.

Q: Is the height of the crate relevant to the calculation of the area of the top?

A: No, the height of the crate is not relevant to the calculation of the area of the top. The area of the top of the crate is a two-dimensional measurement, which means it does not have a length or width in the classical sense.

Q: Can I use the area of the top of the crate to calculate the volume of the crate?

A: Yes, you can use the area of the top of the crate to calculate the volume of the crate. However, that is a topic for another discussion.

Q: What is the formula for calculating the area of a rectangle?

A: The formula for calculating the area of a rectangle is: Area = Length x Width.

Q: How do I convert square feet to square yards?

A: To convert square feet to square yards, you need to divide the area in square feet by 9. For example, if the area is 4.5 square feet, you can convert it to square yards by dividing it by 9: 4.5 square feet / 9 = $\frac{1}{2}$ square yard.

Q: What is the final answer to the problem?

A: The final answer to the problem is $\boxed{\frac{1}{2}}$ square yard.