Find the area of the composite figure
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Activity: Calculating the Area of a Composite Figure**
**Task:**
Find the area of the composite figure.
**Diagram Explanation:**
The figure is a complex shape composed of multiple smaller geometric parts combined together. It consists of a larger L-shaped base and a smaller rectangular cut-out. The dimensions provided are as follows:
- The left side of the larger shape is 7 meters.
- The base of the larger shape is 4 meters.
- The upper right section of the shape has lengths of 5.2 meters horizontally and vertically, indicating a small rectangular cut-out.
- The bottom right section of the shape also has a 5.2-meter length.
- The small rectangular cut-out at the bottom measures 2 meters vertically.
**Instructions:**
1. Break down the composite figure into simpler shapes (e.g., rectangles and triangles).
2. Calculate the area of each shape.
3. Subtract the area of any cut-out sections from the total area of the larger shape.
4. Provide the answer in square meters.
**Note:**
Make sure to show each step of your calculation for full understanding and clarity. Remember, this is a required question, so be sure to fill in your answer before submitting your work.
Expert Solution
Step 1
Consider the given composite figure.
Draw the line segment that splits the given figure to a right triangle and a square as follows.
Then, the area of the given composite figure is the sum of the areas of the right triangle and the square.
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