Homework Help is Here – Start Your Trial Now!
Math
Geometry
5) O 5 85 14 ft Area = Area - очда 6 ft A B A 9 ft B

5) O 5 85 14 ft Area = Area - очда 6 ft A B A 9 ft B

Elementary Geometry For College Students, 7e
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
See similar textbooks
icon
Related questions
Question
### Diagram Explanation: The image depicts a geometric shape divided into two distinct regions labeled A and B. - **Region A**: - This area forms a rectangle. - Dimensions are provided: width is 6 feet, height is 9 feet. - **Region B**: - This area forms a triangle directly below the rectangle. - The base of the triangle aligns with the width of the rectangle, measuring 6 feet. ### Additional Measurements: - The total height of the combined shape (rectangle and triangle) is 14 feet. ### Area Calculation: The area for the given shape is left to be calculated at the bottom of the image, shown as: - **Area =** (without any numerical value filled in). ### Notes: - The area of Region A (the rectangle) can be calculated using the formula: \[ \text{Area of A} = \text{width} \times \text{height} = 6\,\text{ft} \times 9\,\text{ft} \] - The area of Region B (the triangle) can be calculated using the formula: \[ \text{Area of B} = \frac{1}{2} \times \text{base} \times \text{height} \] - To determine the height of the triangle, subtract the height of the rectangle from the total height: \( 14\,\text{ft} - 9\,\text{ft} = 5\,\text{ft} \). ### Provided Area Information: - There is an additional unrelated area value noted at the top left of the image: \[ \text{Area} = 34\,\text{yd} \] This information can serve as a practical problem case for calculating combined shapes and understanding basic geometric property evaluations.
Transcribed Image Text:### Diagram Explanation: The image depicts a geometric shape divided into two distinct regions labeled A and B. - **Region A**: - This area forms a rectangle. - Dimensions are provided: width is 6 feet, height is 9 feet. - **Region B**: - This area forms a triangle directly below the rectangle. - The base of the triangle aligns with the width of the rectangle, measuring 6 feet. ### Additional Measurements: - The total height of the combined shape (rectangle and triangle) is 14 feet. ### Area Calculation: The area for the given shape is left to be calculated at the bottom of the image, shown as: - **Area =** (without any numerical value filled in). ### Notes: - The area of Region A (the rectangle) can be calculated using the formula: \[ \text{Area of A} = \text{width} \times \text{height} = 6\,\text{ft} \times 9\,\text{ft} \] - The area of Region B (the triangle) can be calculated using the formula: \[ \text{Area of B} = \frac{1}{2} \times \text{base} \times \text{height} \] - To determine the height of the triangle, subtract the height of the rectangle from the total height: \( 14\,\text{ft} - 9\,\text{ft} = 5\,\text{ft} \). ### Provided Area Information: - There is an additional unrelated area value noted at the top left of the image: \[ \text{Area} = 34\,\text{yd} \] This information can serve as a practical problem case for calculating combined shapes and understanding basic geometric property evaluations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer