Sure! Here is a step-by-step explanation to solve the problem:
1. Plot the points A(1,3), B(5,3), C(1,-3), and D(5,-3) on a coordinate plane. This will form a rectangle with sides parallel to the x and y-axes.
2. Find the length of the base of the rectangle by calculating the distance between points A and B. You can use the distance formula: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
3. Find the height of the rectangle by calculating the distance between points A and C using the same distance formula.
4. Multiply the base length by the height to find the area of the rectangle. The formula for the area of a rectangle is: \[ \text{Area} = \text{Base} \times \text{Height} \]
5. Substitute the values you found for the base and height into the formula to calculate the area of the rectangle.
6. Once you have the values plugged in, perform the multiplication to find the final area of the rectangle.
By following these steps, you should be able to accurately calculate the area of the rectangle formed by the given vertices.
