Calculating the Area of the Entire Lot

Oct 13, 2025 by recoveryshake.com 104 views

The Stalls of the Lot: Calculating the Total Area Available for Cars to Park

In this problem, we are given a rectangular lot with stalls at a 90-degree angle to a required aisle that bisects the lot. The aisle is 8 meters by 78 meters. We need to calculate the total area available for cars to park. To do this, we will first find the area of the entire lot and then subtract the area of the aisle to get the total area available for parking.

Calculating the Area of the Entire Lot

The area of a rectangle is given by the formula:

Area = Length × Width

In this case, the length of the lot is 78 meters and the width is 8 meters. Therefore, the area of the entire lot is:

78 m × 8 m = 624 m²

Calculating the Area of the Aisle

The area of the aisle is also a rectangle, with a length of 78 meters and a width of 4 meters (since it bisects the lot). Therefore, the area of the aisle is:

78 m × 4 m = 312 m²

Calculating the Total Area Available for Cars to Park

To find the total area available for cars to park, we subtract the area of the aisle from the area of the entire lot:

624 m² - 312 m² = 312 m²

Therefore, the total area available for cars to park is 312 square meters.

In this problem, we calculated the total area available for cars to park by finding the area of the entire lot and subtracting the area of the aisle. The total area available for cars to park is 312 square meters.

The stalls of the lot are at a 90-degree angle to the required aisle, which bisects the lot.
The aisle is 8 meters by 78 meters.
The area of the entire lot is 624 square meters.
The area of the aisle is 312 square meters.

[1] Wikipedia. (n.d.). Rectangle. Retrieved from https://en.wikipedia.org/wiki/Rectangle

Area = Length × Width
Area of a rectangle = Length × Width

Subtraction: 624 m² - 312 m² = 312 m²
The Stalls of the Lot: Q&A

In our previous article, we calculated the total area available for cars to park in a rectangular lot with stalls at a 90-degree angle to a required aisle that bisects the lot. In this article, we will answer some frequently asked questions related to this problem.

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 × Width

Q: How do I calculate the area of the entire lot?

A: To calculate the area of the entire lot, you need to multiply the length and width of the lot. In this case, the length of the lot is 78 meters and the width is 8 meters. Therefore, the area of the entire lot is:

78 m × 8 m = 624 m²

Q: How do I calculate the area of the aisle?

A: To calculate the area of the aisle, you need to multiply the length and width of the aisle. In this case, the length of the aisle is 78 meters and the width is 4 meters (since it bisects the lot). Therefore, the area of the aisle is:

78 m × 4 m = 312 m²

Q: How do I calculate the total area available for cars to park?

A: To calculate the total area available for cars to park, you need to subtract the area of the aisle from the area of the entire lot:

624 m² - 312 m² = 312 m²

Q: What if the stalls of the lot are not at a 90-degree angle to the required aisle?

A: If the stalls of the lot are not at a 90-degree angle to the required aisle, the calculation of the total area available for cars to park will be more complex. You will need to use trigonometry to calculate the area of the stalls and then subtract the area of the aisle.

Q: Can I use a calculator to calculate the area of the entire lot and the aisle?

A: Yes, you can use a calculator to calculate the area of the entire lot and the aisle. However, it is always a good idea to double-check your calculations to ensure that you get the correct answer.

Q: What if the lot is not a rectangle?

A: If the lot is not a rectangle, you will need to use a different formula to calculate the area of the lot. For example, if the lot is a triangle, you will need to use the formula:

Area = (Base × Height) / 2

In this article, we answered some frequently asked questions related to the problem of calculating the total area available for cars to park in a rectangular lot with stalls at a 90-degree angle to a required aisle that bisects the lot. We hope that this article has been helpful in clarifying any doubts you may have had.

The stalls of the lot are at a 90-degree angle to the required aisle, which bisects the lot.
The aisle is 8 meters by 78 meters.
The area of the entire lot is 624 square meters.
The area of the aisle is 312 square meters.

[1] Wikipedia. (n.d.). Rectangle. Retrieved from https://en.wikipedia.org/wiki/Rectangle
[2] Wikipedia. (n.d.). Triangle. Retrieved from https://en.wikipedia.org/wiki/Triangle

Area = Length × Width
Area of a rectangle = Length × Width
Area of a triangle = (Base × Height) / 2

Multiplication: 78 m × 8 m = 624 m²
Multiplication: 78 m × 4 m = 312 m²
Subtraction: 624 m² - 312 m² = 312 m²