I have a rectangle that is 1m2 and know that the height is 1.5 x the width. How do I calculate the actual height and width???
This is how I'd try it:
call width w.
area is length x width.
length = 1.5w
area = $\displaystyle 1.5w^2 = 1 $
$\displaystyle w^2 = \frac{1}{1.5} $
$\displaystyle w = \frac{\sqrt{6}}{3} $
Width = $\displaystyle \frac{\sqrt{6}}{3} $
Length = $\displaystyle \frac{\sqrt{6}}{2} $