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