Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 33E: Farmer Watson wishes to fence a rectangular plot of ground measuring 245 ft by 140 ft. aWhat amount...
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![**Problem: Find the Perimeter of the Figure**
You are given an L-shaped figure with the following side measurements:
- The vertical side on the left is 23 meters.
- The top horizontal side is 10 meters.
- The lower right vertical side is 9 meters.
- The bottom horizontal side is 24 meters.
**Missing Measurements:**
To find the perimeter, identify all sides of the L-shape. The total horizontal length at the top is equal to the bottom side, so to find the missing horizontal segment, subtract 10 meters from 24 meters, resulting in 14 meters.
Similarly, identify the missing vertical segment. The total vertical length on the side is equal to the left side. Subtract 9 meters from 23 meters, resulting in 14 meters for the missing vertical side.
**Perimeter Calculation:**
Add all side lengths:
\[ 23 \, \text{m} + 10 \, \text{m} + 14 \, \text{m} + 9 \, \text{m} + 24 \, \text{m} + 14 \, \text{m} = 94 \, \text{m} \]
**Conclusion:**
The perimeter of the figure is 94 meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa845f802-60f3-4c15-8425-576c0ee51580%2F8d030fc3-188e-4db6-a60a-2732810a36f0%2F6btoa1nl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Find the Perimeter of the Figure**
You are given an L-shaped figure with the following side measurements:
- The vertical side on the left is 23 meters.
- The top horizontal side is 10 meters.
- The lower right vertical side is 9 meters.
- The bottom horizontal side is 24 meters.
**Missing Measurements:**
To find the perimeter, identify all sides of the L-shape. The total horizontal length at the top is equal to the bottom side, so to find the missing horizontal segment, subtract 10 meters from 24 meters, resulting in 14 meters.
Similarly, identify the missing vertical segment. The total vertical length on the side is equal to the left side. Subtract 9 meters from 23 meters, resulting in 14 meters for the missing vertical side.
**Perimeter Calculation:**
Add all side lengths:
\[ 23 \, \text{m} + 10 \, \text{m} + 14 \, \text{m} + 9 \, \text{m} + 24 \, \text{m} + 14 \, \text{m} = 94 \, \text{m} \]
**Conclusion:**
The perimeter of the figure is 94 meters.
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