Answer
height is 10 feet, width of 30 feet
Work Step by Step
$100x^2+225y^2=22500$
This is the equation of an ellipse with $a=1$ and $b=1$.
$x=0$
$100x^2+225y^2=22500$
$100*0^2+225y^2=22500$
$100*0+225y^2=22500$
$0+225y^2=22500$
$225y^2=22500$
$225y^2/225=22500/225$
$y^2=100$
$\sqrt {y^2} = \sqrt {100}$
$y= 10$
$y=0$
$100x^2+225y^2=22500$
$100x^2+225*0^2=22500$
$100x^2+225*0=22500$
$100x^2+0=22500$
$100x^2=22500$
$100x^2/100=22500/100$
$x^2=225$
$\sqrt {x^2} =\sqrt {225}$
$x=15$
$x$ is only half of the distance, so we need to double $x$ to get the true width
