Area in the Coordinate Plane Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Find the coordinates of the rectangle and use them to compute the area. (1 point) Responses 16 units2 16 units squared 15 units2 15 units squared 30 units2 30 units squared 8 units2 8 units squared Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

1 answer

To calculate the area of a rectangle in the coordinate plane, you need the coordinates of its vertices (corners). The area \( A \) of a rectangle can be found using the formula:

\[ A = \text{length} \times \text{width} \]

Where:

  • Length is the horizontal distance between the left and right edges of the rectangle.
  • Width is the vertical distance between the top and bottom edges of the rectangle.

Without the image to provide the coordinates, I'll explain the general steps you would take:

  1. Identify the Coordinates: Determine the coordinates of the rectangle's vertices (corners). Assume the coordinates are (x1, y1), (x1, y2), (x2, y1), and (x2, y2).

  2. Calculate Length and Width:

    • Length = |x2 - x1|
    • Width = |y2 - y1|
  3. Substitute into the Area Formula: \[ A = \text{Length} \times \text{Width} \]

  4. Choose the Correct Area Response: Compare the computed area with the provided responses to select the correct one.

If you have the specific coordinates from the image, I could help you with the exact calculations. Otherwise, you can follow these steps with the specific coordinates to find the area.