Answer:
Step-by-step explanation:
The formula for determining the area of a trapezium is expressed as
Area = 1/2(a + b)h
Where
a and b are the lengths of the opposite side of the trapezium
h is the height of the trapezium.
From the diagram
a = 1.1 m
b = 2.4 m
To determine the height, h, we would apply the sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Therefore,
Sin 45 = h/1.8
h = 1.8sin45 = 1.8 × 0.7071 = 1.273
Therefore
Area of trapezoid
= 1/2(1.1 + 2.4)1.273
= 2.2m²
