Question

what is the area of parallelogram abcd? 25 square units 16 square units 20 square units 24 square units

Explanation:

Step1: Find the base length

The base \(BC\) (or \(AD\)) of the parallelogram. Counting the units on the \(x -\)axis from \(B\) to \(C\). \(B\) is at \(x = 0\) and \(C\) is at \(x = 5\), but wait, using the formula for the distance between two points. For a horizontal line (since \(B\) and \(C\) have the same \(y -\)coordinate in the parallelogram property). The length of \(BC\): \(|x_C - x_B|=5\) units.

Step2: Find the height

The height \(h\) of the parallelogram. The vertical distance from the base \(BC\) (or \(AD\)) to the opposite side. Counting the units from \(y = 0\) (the line containing \(BC\)) to \(y = 4\) (the \(y -\)coordinate of \(A\) and \(B\)). The height \(h = 4\) units.

Step3: Calculate the area

Use the formula for the area of a parallelogram \(A=b\times h\). Substitute \(b = 5\) and \(h = 4\) into the formula. \(A=5\times4\).

Answer:

\(20\) square units