Question

A parallelogram has sides 4 cm. and 18 cm. and included angle 30º. Find one side

of the square of equal area.

Answer 1

Area of the parallelogram: $A=4*18*sin30^0=36 \;cm^2.$

Let the side of the square be x.

So, $x^2=36.$

$x=\sqrt{36}=6 \;cm.$