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termine the length of the line segment(s) 1. 27 units² 12 units?

termine the length of the line segment(s) 1. 27 units² 12 units?

Algebra and Trigonometry (6th Edition)
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,...
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Determine the length
**Determine the Length of the Line Segment(s)** 1. The diagram consists of two adjoining squares along a line segment AB. The left square, shaded green, has an area of 27 square units. The right square, shaded orange, has an area of 12 square units. - **Square on the Left:** - Area: 27 units² - Side Length: √27 = 3√3 units - **Square on the Right:** - Area: 12 units² - Side Length: √12 = 2√3 units Since the squares are placed side-by-side along line AB, the length of AB is the sum of the side lengths of the two squares: - Total Length of AB: 3√3 + 2√3 = 5√3 units This setup helps in visualizing the relation of square areas to their side lengths and understanding the addition of line segments from geometrical areas.
Transcribed Image Text:**Determine the Length of the Line Segment(s)** 1. The diagram consists of two adjoining squares along a line segment AB. The left square, shaded green, has an area of 27 square units. The right square, shaded orange, has an area of 12 square units. - **Square on the Left:** - Area: 27 units² - Side Length: √27 = 3√3 units - **Square on the Right:** - Area: 12 units² - Side Length: √12 = 2√3 units Since the squares are placed side-by-side along line AB, the length of AB is the sum of the side lengths of the two squares: - Total Length of AB: 3√3 + 2√3 = 5√3 units This setup helps in visualizing the relation of square areas to their side lengths and understanding the addition of line segments from geometrical areas.
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