What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4,
Practice Questions
Q1
What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
12
15
10
8
Questions & Step-by-Step Solutions
What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
Step 1: Identify the coordinates of the rectangle's vertices: (1, 1), (1, 5), (4, 1), and (4, 5).
Step 2: Determine the length of the rectangle. The length is the distance between the x-coordinates of the vertices (4 and 1). Calculate it: 4 - 1 = 3.
Step 3: Determine the width of the rectangle. The width is the distance between the y-coordinates of the vertices (5 and 1). Calculate it: 5 - 1 = 4.
Step 4: Calculate the area of the rectangle using the formula: Area = length * width.
Step 5: Substitute the values into the formula: Area = 3 * 4.
Step 6: Perform the multiplication: 3 * 4 = 12.
Step 7: Conclude that the area of the rectangle is 12.
