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3. Find the perimeter and area of the following triangle. 4 in; 5 in 10 in 6 in to regioni a bns ni 8 lo auibes and spent br 4. Find the perimeter and area of the following figure. 10 ft 8 ft 3 ft 5 ft Applied Math

3. Find the perimeter and area of the following triangle. 4 in; 5 in 10 in 6 in to regioni a bns ni 8 lo auibes and spent br 4. Find the perimeter and area of the following figure. 10 ft 8 ft 3 ft 5 ft Applied Math

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
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Certainly! Here is a transcription and explanation suitable for an educational website: --- **Perimeter and Area Calculations** **3. Triangle Problem:** - **Task:** Find the perimeter and area of the following triangle. - **Triangle Dimensions:** - Base: 10 in - Height: 4 in - Other sides: 5 in, 6 in - **Explanation:** - The triangle is labeled with dimensions for its three sides and height. The perimeter is the sum of all sides (10 in + 5 in + 6 in). - The area of a triangle is calculated using the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Therefore, plug in the base (10 in) and height (4 in) into the formula. **4. Composite Figure Problem:** - **Task:** Find the perimeter and area of the following figure. - **Figure Description:** - This is an L-shaped figure divided into two rectangles. - Dimensions: 8 ft (top horizontal), 10 ft (vertical longer side), 5 ft (vertical shorter side), and 3 ft (bottom horizontal). - **Explanation:** - For perimeter, add the outer sides: 8 ft + 10 ft + 5 ft + 3 ft. Note that internal lines of the L-shape are not part of the boundary. - For the area, divide the L-shape into two rectangles: - Rectangle 1 (on top): 8 ft by 3 ft - Rectangle 2 (vertically extended): 5 ft by 5 ft (since bottom is 3 ft and longer side is 8 ft, split between top and bottom) - Find the area of each rectangle using the formula: \[ \text{Area} = \text{length} \times \text{width} \] - Sum the areas for the total area. **Applied Math** --- This segment provides a step-by-step approach to solving for perimeter and area for different geometric figures, making the concepts accessible and understandable for students.
Transcribed Image Text:Certainly! Here is a transcription and explanation suitable for an educational website: --- **Perimeter and Area Calculations** **3. Triangle Problem:** - **Task:** Find the perimeter and area of the following triangle. - **Triangle Dimensions:** - Base: 10 in - Height: 4 in - Other sides: 5 in, 6 in - **Explanation:** - The triangle is labeled with dimensions for its three sides and height. The perimeter is the sum of all sides (10 in + 5 in + 6 in). - The area of a triangle is calculated using the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Therefore, plug in the base (10 in) and height (4 in) into the formula. **4. Composite Figure Problem:** - **Task:** Find the perimeter and area of the following figure. - **Figure Description:** - This is an L-shaped figure divided into two rectangles. - Dimensions: 8 ft (top horizontal), 10 ft (vertical longer side), 5 ft (vertical shorter side), and 3 ft (bottom horizontal). - **Explanation:** - For perimeter, add the outer sides: 8 ft + 10 ft + 5 ft + 3 ft. Note that internal lines of the L-shape are not part of the boundary. - For the area, divide the L-shape into two rectangles: - Rectangle 1 (on top): 8 ft by 3 ft - Rectangle 2 (vertically extended): 5 ft by 5 ft (since bottom is 3 ft and longer side is 8 ft, split between top and bottom) - Find the area of each rectangle using the formula: \[ \text{Area} = \text{length} \times \text{width} \] - Sum the areas for the total area. **Applied Math** --- This segment provides a step-by-step approach to solving for perimeter and area for different geometric figures, making the concepts accessible and understandable for students.
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