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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Transcribed Image Text:### Geometry Problem: Calculating the Area of a Square
**Problem Statement:**
Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what is its area?
**Options:**
- ( ) 847
- ( ) 704
- ( ) 479
- ( ) 225
**Explanation:**
To find the area of the square, we first determine the length of the side between the given vertices (-5, -3) and (-5, 12). These points share the same x-coordinate, indicating that this side is vertical. The side length is the difference in the y-coordinates:
Length of the side = |12 - (-3)| = |12 + 3| = 15 units.
Since the given side is one of the sides of the square, the area of the square can be calculated using the formula for the area of a square:
Area = side length² = 15² = 225 square units.
Hence, the correct option is:
- ( ) 847
- ( ) 704
- ( ) 479
- (•) 225
Click **Next** to continue.
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