Determine the coordinates of rectangle  ABCD . Use the coordinates to compute the area of the rectangle.

1 answer

To determine the coordinates of rectangle ABCD, we need specific information about the position of the rectangle on a coordinate plane. Let's assume you want to define rectangle ABCD with the following given vertices:

  • A (x1, y1)
  • B (x2, y1)
  • C (x2, y2)
  • D (x1, y2)

Where \( (x1, y1) \) and \( (x2, y2) \) are the bottom left and top right vertices, respectively.

  1. Calculate the Length and Width:

    • The length \( L \) of the rectangle can be calculated as: \[ L = |x2 - x1| \]
    • The width \( W \) of the rectangle can be calculated as: \[ W = |y2 - y1| \]
  2. Calculate the Area: The area \( A \) of the rectangle can be computed using the formula: \[ A = L \times W = |x2 - x1| \times |y2 - y1| \]

Example

Let’s assume rectangle ABCD has the following coordinates:

  • A(1, 2)
  • B(4, 2)
  • C(4, 5)
  • D(1, 5)
  1. Length \( L \): \[ L = |4 - 1| = 3 \]

  2. Width \( W \): \[ W = |5 - 2| = 3 \]

  3. Area \( A \): \[ A = L \times W = 3 \times 3 = 9 \]

Thus, the area of rectangle ABCD is 9 square units.

If you have specific coordinates for rectangle ABCD, please provide them, and I can help you compute the area based on those coordinates!