Question

TOO Roberto 05.03 MC)What is the area, in square units, of the polygon shown here?

Answer 1

To answer this item, we may divide the given figure into two: (1) upper portion and (2) lower portion.

We solve first for the area of the lower portion figure, that is a rectangle with height equal to 1 unit and length of 5 units. 

The area of a rectangle is calculated by multiplying its dimensions as shown in the formula below.
                        Area = Height x Length
Substituting,
                       Area = (1 unit) x (5 units) = 5 unit squared

Next, we have the second figure, upper portion. The length of this figure is given to be 2 units. The height is equal to 5 units - 1 unit because the 1 unit was already covered in the first figure. Thus, the height is equal to 4 units.

Solving for the area,
                       Area = (4 units)(2 units) = 8 units squared

Then, adding up both areas,
                 total area = (5 unit squared) + (8 unit squared) = 13 units squared

ANSWER: 13 unit squared