Answer:
20 square meters
Explanation:
The area of the shaded region consists of two triangles:
One on the left hand side
one on the right hand side
We know area of triangle is:
A = 0.5 * length * height
Now, lets find area of left-hand side triangle:
The height is 5
The top length is 2 + 6 = 9
So, bottom part is 7 (white part) so the remaining part would be:
9 - 7 = 2
So, the length of this triangle is 2 and height is 5, hence, area:
Area = 0.5 * 2 * 5 = 5
Now, lets find area of right-hand side triangle:
The length is 6, on top.
The height is same as side opposite, which is given 5
So,
length = 6
height = 5
So, area would be:
Area = 0.5 * 6 * 5 = 15
Total Area of Shaded Region = 5 + 15 = 20 square meters