Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 28E
Related questions
Question
![**Understanding the Area of a Trapezoid**
**Question:**
What is the area, in square feet, of the trapezoid below?
**Diagram Explanation:**
- **Top Base Length:** 13.6 feet
- **Bottom Base Length:** 8 feet
- **Height:** 5 feet
- **A smaller section on the right:** 5.9 feet
[Detailed Diagram]
The diagram shows a trapezoid where:
- The upper base (top edge) measures 13.6 feet.
- The lower base (bottom edge) measures 8 feet.
- The vertical height from the base to the top is 5 feet.
**Answer Calculation:**
To find the area of a trapezoid, the formula is:
\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]
Where \( b_1 \) and \( b_2 \) are the lengths of the two bases and \( h \) is the height.
Given:
\[ b_1 = 13.6 \text{ feet} \]
\[ b_2 = 8 \text{ feet} \]
\[ h = 5 \text{ feet} \]
Substitute into the formula:
\[ \text{Area} = \frac{1}{2} \times (13.6 + 8) \times 5 \]
\[ \text{Area} = \frac{1}{2} \times 21.6 \times 5 \]
\[ \text{Area} = 10.8 \times 5 \]
\[ \text{Area} = 54 \text{ square feet} \]
**Enter Your Answer:**
\[ \text{Answer: } A = \_\_\_\_ \text{ ft}^2 \]
After calculation:
\[ \text{Answer: } A = 54 \text{ ft}^2 \]
**Submit Answer:**
[Submit Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d8fb264-bca6-40ee-a9c2-09b332d5c912%2F7136783e-efa9-413b-b2ea-693f2f9eb5d9%2F2igrkhd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding the Area of a Trapezoid**
**Question:**
What is the area, in square feet, of the trapezoid below?
**Diagram Explanation:**
- **Top Base Length:** 13.6 feet
- **Bottom Base Length:** 8 feet
- **Height:** 5 feet
- **A smaller section on the right:** 5.9 feet
[Detailed Diagram]
The diagram shows a trapezoid where:
- The upper base (top edge) measures 13.6 feet.
- The lower base (bottom edge) measures 8 feet.
- The vertical height from the base to the top is 5 feet.
**Answer Calculation:**
To find the area of a trapezoid, the formula is:
\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]
Where \( b_1 \) and \( b_2 \) are the lengths of the two bases and \( h \) is the height.
Given:
\[ b_1 = 13.6 \text{ feet} \]
\[ b_2 = 8 \text{ feet} \]
\[ h = 5 \text{ feet} \]
Substitute into the formula:
\[ \text{Area} = \frac{1}{2} \times (13.6 + 8) \times 5 \]
\[ \text{Area} = \frac{1}{2} \times 21.6 \times 5 \]
\[ \text{Area} = 10.8 \times 5 \]
\[ \text{Area} = 54 \text{ square feet} \]
**Enter Your Answer:**
\[ \text{Answer: } A = \_\_\_\_ \text{ ft}^2 \]
After calculation:
\[ \text{Answer: } A = 54 \text{ ft}^2 \]
**Submit Answer:**
[Submit Button]
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