Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 19A: A rectangular steel plate 15.10 inches long and 12.45 inches wide weighs 19.4 pounds. Find the...
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Question
![**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
**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:
- Base = 23 feet
- Height = 6 feet
Calculation:
\[ \text{Area} = \frac{1}{2} \times 23 \times 6 \]
\[ \text{Area} = \frac{1}{2} \times 138 \]
\[ \text{Area} = 69 \text{ ft}^2 \]
Therefore, the correct answer is:
- 69 ft²
This problem involves understanding the geometric concept of finding the area of a triangle, applying the correct formula, and performing basic multiplication and division.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6166de5a-9053-4d84-9ce1-0f690da2cc9c%2Fae38f862-b08a-44f4-a258-9b736644a71f%2Fztux5d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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
**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:
- Base = 23 feet
- Height = 6 feet
Calculation:
\[ \text{Area} = \frac{1}{2} \times 23 \times 6 \]
\[ \text{Area} = \frac{1}{2} \times 138 \]
\[ \text{Area} = 69 \text{ ft}^2 \]
Therefore, the correct answer is:
- 69 ft²
This problem involves understanding the geometric concept of finding the area of a triangle, applying the correct formula, and performing basic multiplication and division.
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