Question

Find the area of the figure. Round your answer to the nearest tenth.

Answer 1

Answer:

Area of the parallelogram= $10\sqrt{3} m^2$

Step-by-step explanation:

Area of a parallelogram = Length * Perpendicular height

To find the perpendicular height of the parallelogram:

Using given angle 60° in the triangle.

$sin(60)=\frac{Perpendicular}{Hypotenuse}$

$\frac{\sqrt{3} }{2}=\frac{Perpendicular}{4} \\\\Perpendicular=\frac{4\sqrt{3} }{2} \\\\Perpendicular=2\sqrt{3} m$

Area of the Parallelogram:

                                           $=5*2\sqrt{3}\\\\ =10\sqrt{3}$

Area of the parallelogram= $10\sqrt{3} m^2$