We use the following trigonometric relationship to find the base of the triangle and the remaining side of the rectangle.
We have then:
sine (45) = x / 0.7
We clear x:
x = 0.7 * sine (45)
x = 0.494974747
x = 0.5
Then, we look for the area of the figure:
Area of the rectangle:
A1 = (0.4) * (0.5) = 0.2
Triangle area:
A2 = (1/2) * (0.5) * (0.9-0.4)
A2 = 0.125
The total area will be:
A = A1 + A2
A = 0.2 + 0.125
A = 0.325 m ^ 2
Answer:
A = 0.325 m ^ 2