Calculating the Area of the Property

Oct 13, 2025 by wbrum.org 101 views

Understanding the Problem

To solve this problem, we need to understand the relationship between the given dimensions of the property and the standard unit of measurement for land area, which is the acre. An acre is a unit of area that is equivalent to 43,560 square feet. Therefore, we need to calculate the area of the given property and then determine what fraction of an acre it represents.

Calculating the Area of the Property

The area of a rectangular property can be calculated using the formula:

Area = Length x Width

In this case, the length of the property is 200 feet, and the width is 50 feet. Therefore, the area of the property is:

Area = 200 x 50 Area = 10,000 square feet

Converting Square Feet to Acres

Now that we have the area of the property in square feet, we need to convert it to acres. We know that 1 acre is equivalent to 43,560 square feet. Therefore, we can set up a proportion to convert the area of the property from square feet to acres:

10,000 square feet / 43,560 square feet per acre = x acres

To solve for x, we can divide 10,000 by 43,560:

x = 10,000 / 43,560 x ≈ 0.229 acres

Determining the Fraction of an Acre

Now that we have the area of the property in acres, we need to determine what fraction of an acre it represents. We can do this by comparing the area of the property to the standard unit of measurement for land area, which is the acre.

Since 0.229 acres is less than 0.5 acres, we can conclude that the property is approximately one-quarter of an acre.

Conclusion

Based on the calculations above, we can conclude that a residential lot measures $50 \, \text{ft} \times 200 \, \text{ft}$ is approximately one-quarter of an acre.

Answer

The correct answer is A) Quarter.

Discussion

This problem requires the application of mathematical concepts, such as area and unit conversion, to solve a real-world problem. It also requires an understanding of the relationship between different units of measurement and the ability to convert between them.

Additional Information

An acre is a unit of area that is equivalent to 43,560 square feet.
The area of a rectangular property can be calculated using the formula: Area = Length x Width.
To convert square feet to acres, we can set up a proportion using the conversion factor: 1 acre = 43,560 square feet.
To determine the fraction of an acre, we can compare the area of the property to the standard unit of measurement for land area, which is the acre.

Understanding the Problem

Calculating the Area of the Property

The area of a rectangular property can be calculated using the formula:

Area = Length x Width

In this case, the length of the property is 200 feet, and the width is 50 feet. Therefore, the area of the property is:

Area = 200 x 50 Area = 10,000 square feet

Converting Square Feet to Acres

10,000 square feet / 43,560 square feet per acre = x acres

To solve for x, we can divide 10,000 by 43,560:

x = 10,000 / 43,560 x ≈ 0.229 acres

Determining the Fraction of an Acre

Since 0.229 acres is less than 0.5 acres, we can conclude that the property is approximately one-quarter of an acre.

Conclusion

Based on the calculations above, we can conclude that a residential lot measures $50 \, \text{ft} \times 200 \, \text{ft}$ is approximately one-quarter of an acre.

Answer

The correct answer is A) Quarter.

Discussion

Additional Information

An acre is a unit of area that is equivalent to 43,560 square feet.
The area of a rectangular property can be calculated using the formula: Area = Length x Width.
To convert square feet to acres, we can set up a proportion using the conversion factor: 1 acre = 43,560 square feet.
To determine the fraction of an acre, we can compare the area of the property to the standard unit of measurement for land area, which is the acre.

Q&A

Q: What is the area of a rectangular property with a length of 200 feet and a width of 50 feet?

A: The area of the property is 10,000 square feet.

Q: How many acres is 10,000 square feet equivalent to?

A: 10,000 square feet is equivalent to approximately 0.229 acres.

Q: What fraction of an acre is the property?

A: The property is approximately one-quarter of an acre.

Q: How can we convert square feet to acres?

A: We can set up a proportion using the conversion factor: 1 acre = 43,560 square feet.

Q: What is the relationship between the area of a property and the standard unit of measurement for land area, which is the acre?

A: The area of a property can be compared to the standard unit of measurement for land area, which is the acre, to determine what fraction of an acre it represents.

Q: What is the correct answer to the problem?

A: The correct answer is A) Quarter.

Q: What mathematical concepts are required to solve this problem?

A: The mathematical concepts required to solve this problem include area and unit conversion.

Q: What is the importance of understanding the relationship between different units of measurement?

A: Understanding the relationship between different units of measurement is important because it allows us to convert between them and solve real-world problems.

Q: What is the significance of the acre as a unit of measurement for land area?

A: The acre is a significant unit of measurement for land area because it is widely used in real estate and agriculture.

Q: How can we determine the fraction of an acre a property represents?

A: We can determine the fraction of an acre a property represents by comparing the area of the property to the standard unit of measurement for land area, which is the acre.