Answer:
220 cm²
Step-by-step explanation:
We can find the area of the polygon by splitting it into two simple figures: a triangle and a rectangle.
First, we can find the area of the rectangle:
Area of rect. = length × width
↓ plugging in the given side lengths
Area of rect. = 18 cm × 11 cm
Area of rect. = 198 cm²
Next, we can find the area of the triangle.
Area of triangle = (1/2) × base × height
To do this, we need to solve for the triangle's base length and height.
height = 15 cm - 11 cm = 4 cm
base = 18 cm - 7 cm = 11 cm
Now, plugging the height into the triangle area formula:
Area of triangle = (1/2) × 11 cm × 4 cm
Area of triangle = 22 cm²
Finally, we can find the area of the polygon by adding the area of the rectangle and the area of the triangle.
Area of polygon = (Area of rect.) + (Area of triangle)
Area of polygon = 198 cm² + 22 cm²
Area of polygon = 220 cm²