What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4,

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Question: What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5)?

Options:

Correct Answer: 12

Solution:

The length is 4 - 1 = 3 and the width is 5 - 2 = 3. Area = length * width = 3 * 3 = 9.

What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5)?

What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5)?

Step 1: Identify the coordinates of the vertices of the rectangle: (1, 2), (1, 5), (4, 2), and (4, 5).
Step 2: Determine the length of the rectangle. The length is the difference in the x-coordinates of the points (4, 2) and (1, 2). Calculate it as 4 - 1 = 3.
Step 3: Determine the width of the rectangle. The width is the difference in the y-coordinates of the points (1, 5) and (1, 2). Calculate it as 5 - 2 = 3.
Step 4: Calculate the area of the rectangle using the formula: Area = length * width.
Step 5: Substitute the values: Area = 3 * 3.
Step 6: Calculate the final area: Area = 9.

Geometry of Rectangles – Understanding the properties of rectangles, including how to calculate area using length and width.
Coordinate Geometry – Using the coordinates of vertices to determine the dimensions of geometric shapes.