Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what is its area? 847 704 479 225 0000

Algebra and Trigonometry (6th Edition)
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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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### 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.
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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