find the area of the polygon 11 inches on top 8.1 inches on the right 15 inches on the bottom and 7 inches on the left

1 answer

To find the area of the polygon, we need to divide it into smaller shapes and calculate the area of each shape.

The given polygon can be divided into a rectangle and a triangle.

The rectangle has dimensions:
Width = 11 inches
Height = 8.1 inches
Area of rectangle = Width x Height = 11 inches x 8.1 inches = 89.1 square inches

The triangle has a base of 15 inches and a height of 8.1 inches.
Area of triangle = 0.5 x base x height = 0.5 x 15 inches x 8.1 inches = 60.75 square inches

Therefore, the total area of the polygon is:
89.1 square inches (rectangle) + 60.75 square inches (triangle) = 149.85 square inches

So, the area of the given polygon is 149.85 square inches.