Question 954488
W=width=base; H=height=0.75W; A=area=216m^2
{{{WH=A}}} Substitute for H.
{{{W(0.75W)=A}}}
{{{0.75W^2=A}}} Put in value for A.
{{{0.75W^2=216m^2}}} Divide each side by 0.75.
{{{W^2=288m^2}}} Find the square root of each side.
{{{W=16.97m}}} ANSWER 1: The width is 16.97 meters.
{{{H=0.75W}}}={{{0.75(16.97m)=12.73m}}} ANSWER 2: The height is 12.73 meters.
CHECK:
{{{A=WH}}}
{{{216m^2=(16.97m)(12.73m)}}}
{{{216m^2=216m^2}}}