### Calculating the Area of a Parking LotThe diagram below represents a scale drawing of a building and the adjacent parking lot. The scale used for this drawing is 1 cm = 6 ft.![Diagram](scale-drawing.png)#### Dimensions:- **Parking Lot:** - Width: 22.5 cm - Height: 16.5 cm - **Building:** - Width: 12.0 cm - Height: 12.0 cm #### Scale:1 cm = 6 ft#### Question:What is the area of the parking lot?#### Step-by-Step Solution:1. **Convert the dimensions from cm to ft using the given scale:** - For the parking lot: - Width = 22.5 cm × 6 ft/cm = 135 ft - Height = 16.5 cm × 6 ft/cm = 99 ft - For the building: - Width = 12.0 cm × 6 ft/cm = 72 ft - Height = 12.0 cm × 6 ft/cm = 72 ft2. **Calculate the area using the dimensions in feet:** - Area of the parking lot $ = \text{Width} \times \text{Height} = 135 \, \text{ft} \times 99 \, \text{ft} = 13,365 \, \text{ft}^2 $ - Area of the building $ = \text{Width} \times \text{Height} = 72 \, \text{ft} \times 72 \, \text{ft} = 5,184 \, \text{ft}^2 $3. **Subtract the area of the building from the total area of the parking lot:** - Area of the parking lot (excluding the building) $ = 13,365 \, \text{ft}^2 - 5,184 \, \text{ft}^2 = 8,181 \, \text{ft}^2 $#### Answer:The area of the parking lot is **8,181.0 ft²**.##### Additional Explanation of the Diagram:- A large rectangle represents the parking lot.- A smaller, inner rectangle represents the building.- Dimensions are clearly marked, and the scale is provided for conversion.

Answered: Image /qna-images/answer/fc0788cb-5973-46ca-b98b-2881a622e93e.jpg

The diagram below is a scale drawing of a building and the parking lot outside it. A scale factor of 1 cm = 6 ft was used to make the drawing. - 22.5 cm 4.5 cm Parking Lot Scale 16.5 cm 1 cm = 6 ft Building 12.0 cm 12.0 cm What is the area of the parking lot?

The diagram below is a scale drawing of a building and the parking lot outside it. A scale factor of 1 cm = 6 ft was used to make the drawing. - 22.5 cm 4.5 cm Parking Lot Scale 16.5 cm 1 cm = 6 ft Building 12.0 cm 12.0 cm What is the area of the parking lot?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Calculating the Area of a Parking Lot

The diagram below represents a scale drawing of a building and the adjacent parking lot. The scale used for this drawing is 1 cm = 6 ft.

![Diagram](scale-drawing.png)

#### Dimensions:
- **Parking Lot:**
- Width: 22.5 cm
- Height: 16.5 cm

- **Building:**
- Width: 12.0 cm
- Height: 12.0 cm

#### Scale:
1 cm = 6 ft

#### Question:
What is the area of the parking lot?

#### Step-by-Step Solution:

1. **Convert the dimensions from cm to ft using the given scale:**
- For the parking lot:
- Width = 22.5 cm × 6 ft/cm = 135 ft
- Height = 16.5 cm × 6 ft/cm = 99 ft
- For the building:
- Width = 12.0 cm × 6 ft/cm = 72 ft
- Height = 12.0 cm × 6 ft/cm = 72 ft

2. **Calculate the area using the dimensions in feet:**
- Area of the parking lot $ = \text{Width} \times \text{Height} = 135 \, \text{ft} \times 99 \, \text{ft} = 13,365 \, \text{ft}^2 $
- Area of the building $ = \text{Width} \times \text{Height} = 72 \, \text{ft} \times 72 \, \text{ft} = 5,184 \, \text{ft}^2 $

3. **Subtract the area of the building from the total area of the parking lot:**
- Area of the parking lot (excluding the building) $ = 13,365 \, \text{ft}^2 - 5,184 \, \text{ft}^2 = 8,181 \, \text{ft}^2 $

#### Answer:
The area of the parking lot is **8,181.0 ft²**.

##### Additional Explanation of the Diagram:
- A large rectangle represents the parking lot.
- A smaller, inner rectangle represents the building.
- Dimensions are clearly marked, and the scale is provided for conversion.

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