Lets get started :)
We know the area formula of a trapezium/trapezoid
Area = [tex] \frac{1}{2} (height)[/tex] (side 1 + side 2 )
In these examples, you need to note one thing very carefully, the graph is spaced with 2 units in the axes of x and y. It is not spaced with 1 unit
Which means: The axes begin as 2 , 4 , 6 ; - 2 , - 4 , - 6
18 ) c )
↓
Base 1 = 2 units
Base 2 = 4 + 4 = 8 units ( Only half the base length was shown, since it is the same below the x-axis, we multiply by 2 )
Height = 6 units
Apply the formula
Area = [tex] \frac{1}{2} [/tex] x 6 x ( 8 + 2 )
= [tex] \frac{1}{2} [/tex] x 6 x 10
= 30 units²
18 ) b )
↓
Base 1 = 2 + 2 = 4 units
Base 2 = 6 + 4 = 10 units
Height = 4 + 2 = 6 units
Area = [tex] \frac{1}{2} [/tex] x 6 x ( 10 + 4 )
= [tex] \frac{1}{2} [/tex] x 6 x 14
= 42 units²
18 ) a )
↓
Base 1 = 2 + 2 = 4 units
Base 2 = 4 + 4 = 8 units
Height = 4 + 4 = 8 units
Area = [tex] \frac{1}{2} [/tex] x 8 x ( 8 + 4 )
= [tex] \frac{1}{2} [/tex] x 8 x 12
= 48 units²
