Question

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

A. 14 units^2
B. 16 units^2
C. 17 units^2
D. 19 units^2

Answer 1

D.
`19units^(2)`

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)`

Answer 2

D is the correct answer