Question

I need to find the area of the polygon. Picture attached.

Answer 1

We can break the polygon into a rectangle and a triangle.

The area of the rectangle can be found by the formula:

Area = Length x Width

The length is 26
The width is 20

The area is:

Area = 26 x 20 = 520

Now, let's find the area of the triangle:

Area of a triangle = 1/2 * base * height

The height is 10 in
The base can be found by 26 - 7 - 7 =26 - 14 = 12

Plug it in to the formula:

Area = 1/2 * 12 * 10 = 6 * 10 = 60

Now add the area of the rectangle and the triangle.

60 + 520 = 580



The area of the polygon is 580 in^2.

Answer 2

Break up the polygon and then add up the areas.

Area of the rectangle = Length x Width = 20 x 26 = 520

Area of the triangle =  1/2 x Base x Height = 1/2 x 12 x 10 = 12 x 5 = 60

520 + 60 = 580

The area of the polygon is 580 in².