The polygon is made up of a rectangle and a triangle. The area of the rectangle is 30 msquared. Find the area of the polygon.
To find the area of the polygon, we need to find the area of both the rectangle and the triangle and then add them together.
Given that the area of the rectangle is 30 m^2, we can say that the length of the rectangle is L and the width is W.
So, we have:
L * W = 30
Next, let's find the area of the triangle. We need to know the base and height of the triangle. Let's assume the base is B and the height is H.
The area of a triangle is given by: (1/2) * base * height = (1/2) * B * H
Now, we need to relate the base and height of the triangle to the dimensions of the rectangle.
Since the base of the triangle is equal to the width of the rectangle (B = W), we can use this relationship in the area formula to write: (1/2) * W * H
Now, we can substitute the value of W from the rectangle equation into the triangle area equation to get: (1/2) * 30 * H = 15H
So, the area of the triangle is 15H.
Finally, to find the area of the polygon, we just need to add the area of the rectangle and the area of the triangle:
Area of Polygon = Area of Rectangle + Area of Triangle = 30 + 15H
Therefore, the area of the polygon is 30 + 15H square meters.