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

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

Options:

Correct Answer: 8

Solution:

This is a rectangle with length 4 and width 3. Area = length * width = 4 * 3 = 12.

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

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

Step 1: Identify the vertices of the polygon. The vertices are (0, 0), (4, 0), (4, 3), and (0, 3).
Step 2: Plot the points on a graph to visualize the shape. You will see that the points form a rectangle.
Step 3: Determine the length of the rectangle. The distance between (0, 0) and (4, 0) is 4 units.
Step 4: Determine the width of the rectangle. The distance between (0, 0) and (0, 3) is 3 units.
Step 5: Use the formula for the area of a rectangle, which is Area = length * width.
Step 6: Substitute the values into the formula: Area = 4 * 3.
Step 7: Calculate the area: 4 * 3 = 12.

Polygon Area Calculation – Understanding how to calculate the area of a polygon, specifically a rectangle, using the formula Area = length * width.
Coordinate Geometry – Using the coordinates of vertices to identify the shape and dimensions of the polygon.