the area of the following figure with the indicated dimensions. Note that the figure represents a metric shape with a hole. nswer How to enter your answer (opens in new window) 14 ft 4 ft 9 ft 8 ft Keypad Keyboard Shortcut
the area of the following figure with the indicated dimensions. Note that the figure represents a metric shape with a hole. nswer How to enter your answer (opens in new window) 14 ft 4 ft 9 ft 8 ft Keypad Keyboard Shortcut
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Problem Description:**
Find the area of the following figure with the indicated dimensions. Note that the figure represents a geometric shape with a hole.
**Diagram Explanation:**
- The outer shape is a rectangle with a width of 14 feet and a height of 8 feet.
- Inside the rectangle, there is a triangular hole.
- The triangle has a base of 9 feet and a height of 4 feet.
**Solution Steps:**
1. Calculate the area of the rectangle:
\[
\text{Area of Rectangle} = \text{width} \times \text{height} = 14 \, \text{ft} \times 8 \, \text{ft}
\]
2. Calculate the area of the triangular hole:
\[
\text{Area of Triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 9 \, \text{ft} \times 4 \, \text{ft}
\]
3. Subtract the area of the triangle from the area of the rectangle to find the area of the shape with the hole:
\[
\text{Area of Shape} = \text{Area of Rectangle} - \text{Area of Triangle}
\]
**Input Section:**
- Enter your answer in the provided box.
- Use the keypad or keyboard shortcuts for input.
**Additional Information:**
- © 2022 Hawkes Learning
Make sure to solve the problem step-by-step and click "Submit Answer" once you have calculated the area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43c0137d-cb9a-4e14-ad33-f8cf19cd6fab%2Ffdf78f46-4cf1-4d71-9a6b-fade297339fc%2Fy528vym_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Find the area of the following figure with the indicated dimensions. Note that the figure represents a geometric shape with a hole.
**Diagram Explanation:**
- The outer shape is a rectangle with a width of 14 feet and a height of 8 feet.
- Inside the rectangle, there is a triangular hole.
- The triangle has a base of 9 feet and a height of 4 feet.
**Solution Steps:**
1. Calculate the area of the rectangle:
\[
\text{Area of Rectangle} = \text{width} \times \text{height} = 14 \, \text{ft} \times 8 \, \text{ft}
\]
2. Calculate the area of the triangular hole:
\[
\text{Area of Triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 9 \, \text{ft} \times 4 \, \text{ft}
\]
3. Subtract the area of the triangle from the area of the rectangle to find the area of the shape with the hole:
\[
\text{Area of Shape} = \text{Area of Rectangle} - \text{Area of Triangle}
\]
**Input Section:**
- Enter your answer in the provided box.
- Use the keypad or keyboard shortcuts for input.
**Additional Information:**
- © 2022 Hawkes Learning
Make sure to solve the problem step-by-step and click "Submit Answer" once you have calculated the area.
Expert Solution
Step 1
Given query is to find the are of the Indicated figure.
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