The polygon is made up of a rectangle and a triangle. The area of the rectangle is 60 msquared. Find the area of the polygon. the hight is 6 m
To find the area of the polygon, we need to find the area of the triangle and add it to the area of the rectangle.
We know that the height of the rectangle is 6 m, and the area of the rectangle is 60 m^2. So, we can use the formula for the area of a rectangle, which is A = base * height.
Let's let the base of the rectangle be b. Then we have:
60 m^2 = b * 6 m
To solve for b, we divide both sides of the equation by 6 m:
b = 60 m^2 / 6 m
b = 10 m.
So, the base of the rectangle is 10 m.
Now, let's find the area of the triangle. The area of a triangle is given by the formula A = (base * height) / 2. The height of the triangle is also 6 m.
The base of the triangle is equal to the base of the rectangle, so the base of the triangle is 10 m.
Plugging in the values into the formula, we have:
A = (10 m * 6 m) / 2
A = 60 m^2 / 2
A = 30 m^2
Therefore, the area of the polygon is 60 m^2 (area of rectangle) + 30 m^2 (area of triangle) = 90 m^2.