Question

what is the area of parallelogram abcd? 15 square units 16 square units 13 square units 14 square units

Explanation:

Step1: Find the base and height

From the graph, the base \(b = 3\) units (horizontal distance between \(D(2,2)\) and \(C(5,1)\) in the \(x -\) direction, \(5 - 2=3\)), and the height \(h = 5\) units (vertical distance from \(y = 2\) to \(y = 6\), \(6 - 1 = 5\)).

Step2: Use the area formula for a parallelogram

The area formula for a parallelogram is \(A=b\times h\). Substitute \(b = 3\) and \(h = 5\) into the formula: \(A=3\times5 = 15\).

Answer:

15 square units