Question

find the area of the 2d figure below, formed from a triangle and a rectangle, in square centimeters. 58 square centimeters 68 square centimeters 44 square centimeters 34 square centimeters

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = lw\) (where \(l\) is length and \(w\) is width). Here, \(l = 8\) cm and \(w=2\) cm. So, \(A_{rectangle}=8\times2 = 16\) \(cm^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\) (where \(b\) is base and \(h\) is height). Here, \(b = 8\) cm and \(h=(6 - 2)=4\) cm. So, \(A_{triangle}=\frac{1}{2}\times8\times4=16\) \(cm^{2}\)

Step3: Sum up the areas

The total area \(A = A_{rectangle}+A_{triangle}\). Substitute the values: \(A=16 + 28=44\) \(cm^{2}\)

Answer:

44 square centimeters