Question

find the area of the figure below, formed from a triangle and a parallelogram. 22 square millimeters 34 square millimeters 32 square millimeters 44 square millimeters

Explanation:

Step1: Calculate the area of the triangle

The formula for the area of a triangle is \(A_{\text{triangle}}=\frac{1}{2}\times base\times height\). Here, the base is \(8\) mm and the height is \(3\) mm. So, \(A_{\text{triangle}}=\frac{1}{2}\times8\times3 = 12\) \(mm^{2}\).

Step2: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A_{\text{parallelogram}}=base\times height\). Here, the base is \(5\) mm and the height is \(4\) mm. So, \(A_{\text{parallelogram}}=5\times4 = 20\) \(mm^{2}\).

Step3: Calculate the total area

The total area \(A = A_{\text{triangle}}+A_{\text{parallelogram}}\). Substitute the values: \(A=12 + 20=32\) \(mm^{2}\).

Answer:

32 square millimeters