Question

find the area of the figure below, formed from a triangle and a parallelogram. 28 square millimeters 32 square millimeters 40 square millimeters 20 square millimeters

Explanation:

Step1: Calculate parallelogram area

The formula for the area of a parallelogram is $A = base\times height$. Here, the base is 6 mm and the height is 4 mm. So, $A_{parallelogram}=6\times4 = 24$ square - mm.

Step2: Calculate triangle area

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. The base of the triangle is 2 mm and the height is 8 mm. So, $A_{triangle}=\frac{1}{2}\times2\times8=8$ square - mm.

Step3: Calculate total area

The total area of the figure is the sum of the area of the parallelogram and the area of the triangle. $A = A_{parallelogram}+A_{triangle}=24 + 8=32$ square - mm.

Answer:

32 square millimeters