Answer:
20 square units
Step-by-step explanation:
Area of a parallelogram formula = base times height
To find the length of the base we take end points of the base and use distance formula
[tex]distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Two points are (1,0) and (5,0)
Distance = [tex]\sqrt{(5-1)^2+(0-0)^2}[/tex]
[tex]=\sqrt{4^2} =4[/tex]
Length of base = 4 units
Now we find out the height between B (1,0) and D (1,5)
Height =[tex]\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5[/tex]
Height = 5
Area of the parallelogram = base times height
= [tex]4 \cdot 5= 20[/tex]
So area = 20 square units
