Question

find the area of the figure below, formed from a triangle and a parallelogram. 20 square millimeters 28 square millimeters 32 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 \(b = 8\) mm and the height \(h=4\) mm. So, \(A_{parallelogram}=8\times4 = 32\) square - millimeters.

Step2: Calculate the area of the triangle

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

Step3: Calculate the total area

The total area \(A = A_{parallelogram}+A_{triangle}\). Substitute the values: \(A=32 + 8=40\) square - millimeters.

Answer:

40 square millimeters