Question

Find the area of the polygon. Show your work.

Answer 1

We can split this polygon into a square and rectangle.

Notice how two sides have a line going through it. That means that they have the same length. To solve for the square we can multiply:

5 * 5 = 25ft²

To solve for the rectangle we can subtract:

12 - 5 = 7ft²

Then multiply,

20 * 7 = 140ft²

To solve for the total area of the polygon we can add:

140 + 25 = 165ft²

Thus, the correct answer is 165ft.²

Best of Luck!

Answer 2

Answer:

C) 165 sq ft.

Step-by-step explanation:

The composite figure can be split into a rectangle and a square (as we are told that the two sides of the bottom right quadrilateral are congruent, therefore the quadrilateral must be a square).

From there, find the area of both of the figures and add.

20 * (12 - 5) = 140.

5 * 5 = 25.

140 + 25 = 165 sq ft.