5. The dimensions of the floor of an airplane hangar are shown in the diagram. The floor is composed of a rectangle and a trapezoid. Airplane Hangar 14 feet 68 feet 46 feet 60 feet What is the area of the floor? A. 2,760 square feet B. 3,574 square feet C. 4,080 square feet D. 4,894 square feet raft
5. The dimensions of the floor of an airplane hangar are shown in the diagram. The floor is composed of a rectangle and a trapezoid. Airplane Hangar 14 feet 68 feet 46 feet 60 feet What is the area of the floor? A. 2,760 square feet B. 3,574 square feet C. 4,080 square feet D. 4,894 square feet raft
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Problem 5: Calculating the Area of the Floor of an Airplane Hangar
The following information displays the dimensions of an airplane hangar floor, which consists of a rectangular section and a trapezoidal section.
#### Diagram Explanation:
- The hangar is comprised of two geometric shapes: a rectangle and a trapezoid.
- **Rectangular Section**:
- Width: 60 feet
- Height: 46 feet
- **Trapezoidal Section**:
- The width at the top (shorter base of the trapezoid): 14 feet
- The width at the bottom (same as the width of the rectangle): 60 feet
- Height of the trapezoid: 22 feet (calculated by subtracting the height of the rectangle (46 feet) from the total height of the hangar (68 feet))
#### Question:
What is the total area of the floor of the hangar?
#### Multiple Choice Options:
**A.** 2,760 square feet
**B.** 3,574 square feet
**C.** 4,080 square feet
**D.** 4,894 square feet
To find the area of the floor, we need to calculate the areas of both the rectangular section and the trapezoidal section, and then sum them.
#### Steps to Calculate:
1. **Area of the Rectangle**:
\[
\text{Area}_{\text{rectangle}} = \text{width} \times \text{height} = 60 \, \text{feet} \times 46 \, \text{feet} = 2760 \, \text{square feet}
\]
2. **Area of the Trapezoid**:
\[
\text{Area}_{\text{trapezoid}} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}
\]
Where:
- \(\text{base}_1 = 14 \, \text{feet}\)
- \(\text{base}_2 = 60 \, \text{feet}\)
- \(\text{height} = 22 \, \text{feet}\)
\[
= \frac{1}{2} \times (14 \, \text{feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7acfa03c-ce8c-4cd5-a52f-d1ef747591d8%2Fcc3a3a9a-fcaa-407a-b5c3-f7bf719753e1%2Fkzrliml_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 5: Calculating the Area of the Floor of an Airplane Hangar
The following information displays the dimensions of an airplane hangar floor, which consists of a rectangular section and a trapezoidal section.
#### Diagram Explanation:
- The hangar is comprised of two geometric shapes: a rectangle and a trapezoid.
- **Rectangular Section**:
- Width: 60 feet
- Height: 46 feet
- **Trapezoidal Section**:
- The width at the top (shorter base of the trapezoid): 14 feet
- The width at the bottom (same as the width of the rectangle): 60 feet
- Height of the trapezoid: 22 feet (calculated by subtracting the height of the rectangle (46 feet) from the total height of the hangar (68 feet))
#### Question:
What is the total area of the floor of the hangar?
#### Multiple Choice Options:
**A.** 2,760 square feet
**B.** 3,574 square feet
**C.** 4,080 square feet
**D.** 4,894 square feet
To find the area of the floor, we need to calculate the areas of both the rectangular section and the trapezoidal section, and then sum them.
#### Steps to Calculate:
1. **Area of the Rectangle**:
\[
\text{Area}_{\text{rectangle}} = \text{width} \times \text{height} = 60 \, \text{feet} \times 46 \, \text{feet} = 2760 \, \text{square feet}
\]
2. **Area of the Trapezoid**:
\[
\text{Area}_{\text{trapezoid}} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}
\]
Where:
- \(\text{base}_1 = 14 \, \text{feet}\)
- \(\text{base}_2 = 60 \, \text{feet}\)
- \(\text{height} = 22 \, \text{feet}\)
\[
= \frac{1}{2} \times (14 \, \text{feet
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