Question

What is the area of the polygon?

Answer 1

Answer: $810m^{2}$

Step-by-step explanation:

First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:

A = 1/2bh

To find the base of the triangle we can add:

9 + 9 + 18 = 36

Now we plug in and solve:

A = 1/2bh

A = 1/2(36)(27)

= 1/2(972)

= 486

To find the square, we can use length x width:

18×18 = 324

Now, we add the sums together:

486 + 324 = 810