Question

andia says she can find the area of the polygon shown by adding the area of a parallelogram and the area of a triangle. lets use andias method to find the area of the polygon.
first, find the area of the parallelogram.
area of parallelogram = square units

Explanation:

Step1: Recall the formula for the area of a parallelogram

The formula for the area of a parallelogram is \(A = base\times height\).

Step2: Determine the base and height from the grid

Assume each square has a side - length of 1 unit. From the grid, the base \(b = 4\) units and the height \(h=3\) units.

Step3: Calculate the area of the parallelogram

Using the formula \(A = b\times h\), we substitute \(b = 4\) and \(h = 3\). So \(A=4\times3=12\) square units.

Answer:

12