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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![### Quiz 1: Perimeter and Area
#### Question:
What is the area of a triangle with a base of 23 feet and a height of 6 feet?
#### Options:
- ○ 26 ft²
- ○ 58 ft²
- ○ 69 ft²
- ○ 138 ft²
#### Navigation:
- **Back**
- **Next**
Explanation:
To calculate the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given the base (23 feet) and the height (6 feet), you can substitute these values into the formula:
\[ \text{Area} = \frac{1}{2} \times 23 \, \text{ft} \times 6 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 138 \, \text{ft}^2 \]
\[ \text{Area} = 69 \, \text{ft}^2 \]
Therefore, the correct answer is 69 ft².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6166de5a-9053-4d84-9ce1-0f690da2cc9c%2F38eb0837-e1cd-45bf-8fd9-9e6de9118407%2Fxo66pnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Quiz 1: Perimeter and Area
#### Question:
What is the area of a triangle with a base of 23 feet and a height of 6 feet?
#### Options:
- ○ 26 ft²
- ○ 58 ft²
- ○ 69 ft²
- ○ 138 ft²
#### Navigation:
- **Back**
- **Next**
Explanation:
To calculate the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given the base (23 feet) and the height (6 feet), you can substitute these values into the formula:
\[ \text{Area} = \frac{1}{2} \times 23 \, \text{ft} \times 6 \, \text{ft} \]
\[ \text{Area} = \frac{1}{2} \times 138 \, \text{ft}^2 \]
\[ \text{Area} = 69 \, \text{ft}^2 \]
Therefore, the correct answer is 69 ft².
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