Answer:
Step-by-step explanation:
Assuming that the parallelogram is a rectangle, its perimeter would be defined as
[tex]P=2(w+l)[/tex]
Where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
But, [tex]P=80 \ m[/tex], so
[tex]80=2(w+l)\\w+l=40[/tex]
Which means the sum of its dimensions is 40 meters.
Easily, its dimenions can be 10 meters and 30 meters.
So, its area would be
[tex]A= w \times l = 10 \times 30 = 300 \ m^{2}[/tex]
Therefore, the area of the parallelogram is 300 square meters. Its height (length) is 30 meters and its width is 10 meters.