Question

apply it > use what you learned to solve these problems. 6 what is the area of the polygon in square units? show your work.

Explanation:

Step1: Divide the polygon

Divide the polygon into a rectangle and a triangle.

Step2: Calculate rectangle area

Suppose the rectangle has length $l = 4$ units and width $w= 2$ units. The area of the rectangle $A_{rect}=l\times w = 4\times2=8$ square - units.

Step3: Calculate triangle area

The base of the triangle $b = 2$ units and height $h = 2$ units. The area of the triangle $A_{tri}=\frac{1}{2}\times b\times h=\frac{1}{2}\times2\times2 = 2$ square - units.

Step4: Calculate total area

The area of the polygon $A = A_{rect}+A_{tri}=8 + 2=10$ square - units.

Answer:

10 square units