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
