The area of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4) is:

The area of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4) is:

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 by finding the difference in the x-coordinates of the vertices (5 and 1). Calculate: Length = 5 - 1.
Step 3: Calculate the length: Length = 5 - 1 = 4.
Step 4: Determine the width of the rectangle by finding the difference in the y-coordinates of the vertices (4 and 1). Calculate: Width = 4 - 1.
Step 5: Calculate the width: Width = 4 - 1 = 3.
Step 6: Calculate the area of the rectangle using the formula: Area = Length * Width.
Step 7: Substitute the values: Area = 4 * 3.
Step 8: Calculate the area: Area = 12.

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