Question

find the area of the figure below, formed from a triangle and a rectangle, in square centimeters. o 34 square centimeters o 44 square centimeters o 58 square centimeters o 68 square centimeters

Explanation:

Step1: Calculate the area of the right - angled triangle

The formula for the area of a right - angled triangle is \(A=\frac{1}{2}\times base\times height\). Here, \(base = 8\) cm and \(height = 6\) cm. So, \(A_1=\frac{1}{2}\times8\times6=24\) \(cm^{2}\)

Step2: Calculate the area of the other triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, \(base = 10\) cm and \(height = 4\) cm (since the total vertical side related to this triangle's height can be inferred from the figure's structure). So, \(A_2=\frac{1}{2}\times10\times4 = 20\) \(cm^{2}\)

Step3: Calculate the total area

The total area \(A = A_1+A_2\). Substituting the values, \(A=24 + 20=44\) \(cm^{2}\)

Answer:

44 square centimeters