Question

Calculate the unshaded portion of the figure

Answer 1

Approx 8.47
`m^2`

Explanation:

First, find the area of the entire figure. Which can be found by multiplying the two sides of the square by each other=
`6*6=36m^2`

Now, ignore the square and just focus on the pentagon and finding the area of that. The formula for the area of a pentagon is
`A=1/2Apothem*Perimeter`

In order to find the apothem, you can make a mini triangle and use trig (Tangent) to find the height (apothem) of the triangle. Then, you take the side length of the base of the pentagon which is 4 and then you multiply it by the number of sides (5) to get 20. Then, by plugging it into our formula, you use the apothem*10 (divided by 2) and you get the area, and then you just subtract that from 36.