Answer:
1.3 m²
Step-by-step explanation:
The shape is a trapezoid.
Area of a trapezoid = ½(a + b)*h
Where, a = 0.8 m
b = 1.8 m
h = height of the trapezoid which is not given.
Therefore, find h using trigonometric function with 45° as reference angle:
Hypotenuse = 1.4 m
Opposite = h
Apply SOH, which is:
Sin 45 = Opp/Hyp
Sin 45 = h/1.4
1.4*Sin 45 = h
0.989949493 = h
h ≈ 1.0 m
✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²
