Question

find the area of the polygon shown in the figure.
36 square units
16 square units
12 square units
12 + 4√5 square units

Explanation:

Step1: Count the base and height

Assume the side - length of each small square is 1 unit. For the triangle, if we consider the horizontal side as the base \(b = 6\) units and the vertical side as the height \(h = 4\) units.

Step2: Use the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}bh\). Substitute \(b = 6\) and \(h = 4\) into the formula: \(A=\frac{1}{2}\times6\times4\).

Step3: Calculate the area

\(A = 12\) square units.

Answer:

12 square units