Question

What is the area of parallelogram ABCD

Answer 1

20 square units

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

20 square units

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 =√((x_2-x_1)^2+(y_2-y_1)^2)`

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

Distance =
`√((5-1)^2+(0-0)^2)`

`=√(4^2) =4`

Length of base = 4 units

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

Height =
`√((1-1)^2+(5-0)^2)=√(5^2)= 5`

Height = 5

Area of the parallelogram = base times height

=
`4 \cdot 5= 20`

So area = 20 square units