Question

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

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\). Here, the base is \(4\) mm and the height is \(6\) mm. So, \(A_{parallelogram}=4\times6 = 24\) square - mm.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). The base of the triangle is \(8 - 4=4\) mm and the height is \(2\) mm. So, \(A_{triangle}=\frac{1}{2}\times4\times2=4\) square - mm.

Step3: Calculate the total area

The total area \(A = A_{parallelogram}+A_{triangle}\). Substitute the values: \(A=24 + 4=28\) square - mm.

Answer:

B. 28 square millimeters