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Consider the getArea method from the textbook shown belov public int getArea() if (width <= 0) { return 0; } // line #1 if (width Triangle smallerTriangle = new Triangle (width - 1); // line #3 int smallerArea = return smallerArea + width; // line #5 1) { return 1; } // line #2 %=D%3D %3D smallerTriangle.getArea (); // line #4 Assume that line #3 is changed to this: Triangle smallerTriangle - new Triangle (width); %3D This would cause infinite recursion for 51- O triangles with width equal to 1 O triangles with width equal to 0 triangles of any width O triangles with width greater than or equal to 2

Consider the getArea method from the textbook shown belov public int getArea() if (width <= 0) { return 0; } // line #1 if (width Triangle smallerTriangle = new Triangle (width - 1); // line #3 int smallerArea = return smallerArea + width; // line #5 1) { return 1; } // line #2 %=D%3D %3D smallerTriangle.getArea (); // line #4 Assume that line #3 is changed to this: Triangle smallerTriangle - new Triangle (width); %3D This would cause infinite recursion for 51- O triangles with width equal to 1 O triangles with width equal to 0 triangles of any width O triangles with width greater than or equal to 2

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Java
### Understanding the `getArea` Method The following is an explanation of the `getArea` method from a textbook: ```java public int getArea() { if (width <= 0) { return 0; } // line #1 if (width == 1) { return 1; } // line #2 Triangle smallerTriangle = new Triangle(width - 1); // line #3 int smallerArea = smallerTriangle.getArea(); // line #4 return smallerArea + width; // line #5 } ``` #### Method Explanation - **Line #1:** Checks if the `width` is less than or equal to 0. If true, it returns 0. - **Line #2:** Checks if the `width` is exactly 1. If true, it returns 1. - **Line #3:** Creates a new `Triangle` object with a `width` decreased by 1. - **Line #4:** Recursively calls `getArea` on the new `Triangle` object and stores the result. - **Line #5:** Returns the sum of `smallerArea` and `width`. ### Modification and Impact The instruction assumes a change in line #3: - **Changed Line #3:** ```java Triangle smallerTriangle = new Triangle(width); ``` ### Implication This change causes infinite recursion. Specifically: - This would lead to infinite recursion for ___. - ☐ triangles with width equal to 1 - ☐ triangles with width equal to 0 - ☐ triangles of any width - ☐ triangles with width greater than or equal to 2 #### Explanation The modified line creates a new `Triangle` of the same `width`, not reducing it by 1. When `getArea` is called recursively, it always uses the original `width`, causing endless recursion when the `width` is 2 or more.
Transcribed Image Text:### Understanding the `getArea` Method The following is an explanation of the `getArea` method from a textbook: ```java public int getArea() { if (width <= 0) { return 0; } // line #1 if (width == 1) { return 1; } // line #2 Triangle smallerTriangle = new Triangle(width - 1); // line #3 int smallerArea = smallerTriangle.getArea(); // line #4 return smallerArea + width; // line #5 } ``` #### Method Explanation - **Line #1:** Checks if the `width` is less than or equal to 0. If true, it returns 0. - **Line #2:** Checks if the `width` is exactly 1. If true, it returns 1. - **Line #3:** Creates a new `Triangle` object with a `width` decreased by 1. - **Line #4:** Recursively calls `getArea` on the new `Triangle` object and stores the result. - **Line #5:** Returns the sum of `smallerArea` and `width`. ### Modification and Impact The instruction assumes a change in line #3: - **Changed Line #3:** ```java Triangle smallerTriangle = new Triangle(width); ``` ### Implication This change causes infinite recursion. Specifically: - This would lead to infinite recursion for ___. - ☐ triangles with width equal to 1 - ☐ triangles with width equal to 0 - ☐ triangles of any width - ☐ triangles with width greater than or equal to 2 #### Explanation The modified line creates a new `Triangle` of the same `width`, not reducing it by 1. When `getArea` is called recursively, it always uses the original `width`, causing endless recursion when the `width` is 2 or more.
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