Question

1. what is the area of the given shape. (decompose it! make it into easier shapes that you do know the area formula for!) 1 unit 5. calculate the surface area of the shape (count - it - )

Explanation:

Step1: Decompose the shape

Decompose the given shape into a rectangle and a triangle.

Step2: Calculate rectangle area

The rectangle has length 8 units and width 4 units. Area of rectangle $A_{r}=l\times w = 8\times4=32$ square - units.

Step3: Calculate triangle area

The triangle has base 4 units and height 2 units. Area of triangle $A_{t}=\frac{1}{2}\times b\times h=\frac{1}{2}\times4\times2 = 4$ square - units.

Step4: Calculate total area

Total area $A = A_{r}+A_{t}=32 + 4=36$ square - units.

Answer:

36 square units