Answer:
Area of Gray Triangle: 66m^2
Area of White Triangle: 30m^2
Area of Larger Triangle: 96m^2
Explanation:
For this problem, we will find the area of the gray triangle by first finding the area of the larger triangle and subtract the area of the white triangle.
First note that the general formula for the area of a triangle is:
Area = ( 1 / 2 ) * Base * Height
Using this formula, we can find the area of the larger triangle and the area of the white triangle.
Area of Larger Triangle:
Base = 5m + 11m = 16m
Height = 12m
Area = ( 1 / 2 ) * 16m * 12m = 8m * 12m = 96m^2
Area of White Triangle:
Base = 5m
Height = 12m
Area = ( 1 / 2 ) * 5m * 12m = 5m * 6m = 30m^2
Now that we have the areas of the Larger triangle and the white triangle, we can find the area of the gray triangle by subtracting the area of the white triangle from the larger triangle:
Area of Gray Triangle:
Area = Area_Of_Larger_Triangle - Area_Of_White_Triangle
Area = 96m - 30m = 66m^2
Now we have the areas of all three triangles depicted.
Cheers.