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

Practice Questions

Q1
What is the area of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4)?
  1. 12
  2. 15
  3. 20
  4. 10

Questions & Step-by-Step Solutions

What is the area of a rectangle with vertices at (1, 1), (1, 4), (5, 1), and (5, 4)?
  • Step 1: Identify the coordinates of the vertices of the rectangle: (1, 1), (1, 4), (5, 1), and (5, 4).
  • Step 2: Determine the length of the rectangle. The length is the distance between the x-coordinates of the points (1, 1) and (5, 1). Calculate it as 5 - 1 = 4.
  • Step 3: Determine the width of the rectangle. The width is the distance between the y-coordinates of the points (1, 1) and (1, 4). Calculate it as 4 - 1 = 3.
  • Step 4: Calculate the area of the rectangle using the formula: Area = length * width.
  • Step 5: Substitute the values: Area = 4 * 3.
  • Step 6: Calculate the final area: Area = 12.
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