Question

What is the area of parallelogram ABCD

Answer 1

Answer:

20 square units

Step-by-step explanation:

You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.

*The reason you do this is because base×hieght=area

Answer 2

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

$distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Two points are (1,0) and (5,0)

Distance = $\sqrt{(5-1)^2+(0-0)^2}$

$=\sqrt{4^2} =4$

Length of base = 4 units

Now we find out the height between B (1,0) and D (1,5)

Height =$\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5$

Height = 5

Area of the parallelogram = base times height

= $4 \cdot 5= 20$

So area = 20 square units