What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0

₹0.0

Question: What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?

Options:

Correct Answer: 12 square units

Solution:

The area can be calculated as length × width = 4 × 3 = 12 square units.

What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?

What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?

Step 1: Identify the vertices of the quadrilateral. The vertices are (0,0), (4,0), (4,3), and (0,3).
Step 2: Visualize the quadrilateral. It forms a rectangle with the bottom left corner at (0,0) and the top right corner at (4,3).
Step 3: Determine the length of the rectangle. The length is the distance between the points (0,0) and (4,0), which is 4 units.
Step 4: Determine the width of the rectangle. The width is the distance between the points (0,0) and (0,3), which is 3 units.
Step 5: Calculate the area of the rectangle using the formula: Area = length × width.
Step 6: Substitute the values into the formula: Area = 4 × 3.
Step 7: Perform the multiplication: 4 × 3 = 12.
Step 8: State the final answer: The area of the quadrilateral is 12 square units.

Area of a Quadrilateral – The area of a quadrilateral can be calculated using the formula for rectangles, which is length multiplied by width.
Coordinate Geometry – Understanding how to plot points on a Cartesian plane and how to derive geometric properties from coordinates.