Find the area of the trapezoid to the nearest tenth

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
 
 A = 0.325 m ^ 2