46. Find the area of this trapezoid using A=2(b + b₂). 9 ft A. 70 ft² B. 88 ft² C. 77 ft² D. 81 ft² 11 ft 7 ft CR & auibe bas 47. Find the similarity ratio of two triangles with areas 16 ft² and 49 ft². A. 256 : 2401 B. 8:24.5 C. 2:3.5 D. 4:7
46. Find the area of this trapezoid using A=2(b + b₂). 9 ft A. 70 ft² B. 88 ft² C. 77 ft² D. 81 ft² 11 ft 7 ft CR & auibe bas 47. Find the similarity ratio of two triangles with areas 16 ft² and 49 ft². A. 256 : 2401 B. 8:24.5 C. 2:3.5 D. 4:7
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
Related questions
Question
47
![### Geometry Problems
#### Problem 46: Find the area of this trapezoid
Given a trapezoid with bases \( b_1 = 9 \text{ft} \) and \( b_2 = 7 \text{ft} \), and a height \( h = 11 \text{ft} \), use the formula for the area of a trapezoid:
\[
A = \frac{1}{2} h (b_1 + b_2)
\]
- A. 70 ft²
- B. 88 ft²
- C. 77 ft²
- D. 81 ft²
The diagram provided shows a trapezoid with its bases and height labeled for clarity.
#### Problem 47: Find the similarity ratio of two triangles with areas 16 ft² and 49 ft²
Given the areas of two triangles, 16 ft² and 49 ft², find their similarity ratio.
- A. 256 : 2401
- B. 8 : 24.5
- C. 2 : 3.5
- D. 4 : 7
The answer choices provide various ratios for comparison.
Note: The similarity ratio is found by taking the square root of the ratio of the areas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d544791-a77c-4b5e-888b-2e8a4014205c%2Fbe745839-d5d7-4266-968f-ee0680d55961%2Fbq2j2fd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problems
#### Problem 46: Find the area of this trapezoid
Given a trapezoid with bases \( b_1 = 9 \text{ft} \) and \( b_2 = 7 \text{ft} \), and a height \( h = 11 \text{ft} \), use the formula for the area of a trapezoid:
\[
A = \frac{1}{2} h (b_1 + b_2)
\]
- A. 70 ft²
- B. 88 ft²
- C. 77 ft²
- D. 81 ft²
The diagram provided shows a trapezoid with its bases and height labeled for clarity.
#### Problem 47: Find the similarity ratio of two triangles with areas 16 ft² and 49 ft²
Given the areas of two triangles, 16 ft² and 49 ft², find their similarity ratio.
- A. 256 : 2401
- B. 8 : 24.5
- C. 2 : 3.5
- D. 4 : 7
The answer choices provide various ratios for comparison.
Note: The similarity ratio is found by taking the square root of the ratio of the areas.
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