Question

What is the area, in square units, of the polygon shown here?

Answer 1

D is the correct answer

Answer 2

Answer:

D. $19units^{2}$

Step-by-step explanation:

We can modeling this problem as two rectangles, The first one in the left of the image as a rectangle with base $b_{1} =8units$ and height $h_{1} =2units$, and the second one in the right bottom of the image  as a rectangle with base $b_{2} = 5units - 2 units=3units$ (the diference of 5units - 2 units is the base of the second rectangle) and height $h_{2} =1unit$.

The area of rectangle is $a=bxh$

Calculating the area of each rectangle.

Rectangle 1 $a_{1} =8unitsx2units=16units^{2}$

Rectangle 2 $a_{2} =3unitsx1unit=3units^{2}$

So, in order to calculate the total area of the polygon shown in the image.

$a_{total} =a_{1} +a_{2} \\a_{total} =16units^{2} +3units^{2} \\a_{total} =19units^{2}$