Question

the coordinate plane shows parallelogram abcd. what is the area of the parallelogram? enter your answer in the box. square units

Explanation:

Step1: Identify base and height

By counting grid - squares, assume base is along a horizontal or vertical line. Let's take the base along the vertical line from point A to D. The length of AD is \(7 - 2=5\) units. The horizontal distance from A to the vertical line through C (which is the height with respect to base AD) is \(8 - 4 = 4\) units.

Step2: Apply area formula

The area formula for a parallelogram is \(A = b\times h\), where \(b\) is the base and \(h\) is the height. Substituting \(b = 5\) and \(h = 4\), we get \(A=5\times4\).

Answer:

20