Answer: 2.5
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Explanation
Focus on the smaller right triangle that has vertical leg x and horizontal leg 2 meters. The hypotenuse is 2.2 meters.
Use the pythagorean theorem to find x.
a^2+b^2 = c^2
x^2 + 2^2 = (2.2)^2
x^2 + 4 = 4.84
x^2 = 4.84 - 4
x^2 = 0.84
x = sqrt(0.84)
x = 0.916515 approximately
x = 0.9
The larger right triangle has a vertical leg of roughly x+2.5 = 0.9+2.5 = 3.4 meters.
Let's find the area of the largest right triangle.
area = 0.5*base*height
area = 0.5*2*3.4
area = 3.4 square meters
Do the same for the smaller right triangle
area = 0.5*base*height
area = 0.5*2*0.9
area = 0.9 square meters
Subtract the two areas to get the area of the white triangular region.
3.4 - 0.9 = 2.5 square meters is the final answer