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
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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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.
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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