What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4,

Practice Questions

Q1
What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5)?
  1. 6
  2. 9
  3. 12
  4. 15

Questions & Step-by-Step Solutions

What is the area of a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5)?
  • Step 1: Identify the coordinates of the vertices of the rectangle: (1, 2), (1, 5), (4, 2), and (4, 5).
  • Step 2: Determine the length of the rectangle. The length is the difference in the x-coordinates of the points (4, 2) and (1, 2). Calculate it as 4 - 1 = 3.
  • Step 3: Determine the width of the rectangle. The width is the difference in the y-coordinates of the points (1, 5) and (1, 2). Calculate it as 5 - 2 = 3.
  • Step 4: Calculate the area of the rectangle using the formula: Area = length * width.
  • Step 5: Substitute the values: Area = 3 * 3.
  • Step 6: Calculate the final area: Area = 9.
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