What is the area of a polygon with vertices at (1, 1), (4, 1), (4, 5), (1, 5)?
Practice Questions
Q1
What is the area of a polygon with vertices at (1, 1), (4, 1), (4, 5), (1, 5)?
12
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Questions & Step-by-Step Solutions
What is the area of a polygon with vertices at (1, 1), (4, 1), (4, 5), (1, 5)?
Step 1: Identify the vertices of the polygon. The vertices are (1, 1), (4, 1), (4, 5), and (1, 5).
Step 2: Determine the length of the polygon. The length is the difference between the x-coordinates of the points (4, 1) and (1, 1). So, length = 4 - 1 = 3.
Step 3: Determine the width of the polygon. The width is the difference between the y-coordinates of the points (1, 5) and (1, 1). So, width = 5 - 1 = 4.
Step 4: Calculate the area of the polygon using the formula area = length × width. Substitute the values: area = 3 × 4.
Step 5: Perform the multiplication: 3 × 4 = 12.
Step 6: Conclude that the area of the polygon is 12.
