If a rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4), what is its a

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Question: If a rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4), what is its area?

Options:

Correct Answer: 16

Solution:

The area of a rectangle is given by the formula: Area = length * width. The length is 5 - 1 = 4 and the width is 4 - 1 = 3. Thus, Area = 4 * 3 = 12.

If a rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4), what is its area?

If a rectangle has vertices at (1, 1), (1, 4), (5, 1), and (5, 4), what is its area?

Step 1: Identify the coordinates of the rectangle's vertices: (1, 1), (1, 4), (5, 1), and (5, 4).
Step 2: Determine the length of the rectangle. The length is the distance between the x-coordinates of the vertices (5 and 1). Calculate it: 5 - 1 = 4.
Step 3: Determine the width of the rectangle. The width is the distance between the y-coordinates of the vertices (4 and 1). Calculate it: 4 - 1 = 3.
Step 4: Use the area formula for a rectangle: Area = length * width.
Step 5: Substitute the values into the formula: Area = 4 * 3.
Step 6: Calculate the area: 4 * 3 = 12.

Area of a Rectangle – The area of a rectangle is calculated by multiplying its length by its width.
Coordinate Geometry – Understanding how to determine the dimensions of a shape using its vertices in a coordinate plane.