Answer:
11.5 m^2
Step-by-step explanation:
The area of a parallelogram is base * height, so you have to find the height.
You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/[tex]\sqrt{3}[/tex] = [tex]4\sqrt{3}/3[/tex].
Then, find the area, so do base * height = 5 * [tex]4\sqrt{3} /3[/tex] = [tex]20\sqrt{3}/3[/tex].
Put this in a calculator and you get: 11.5 m^2
