Question 957148
W=width; L=height=(4/3)W; A=area =192 sq in
{{{A=LW}}} Substitute for L
{{{A=(4/3)(W)(W)}}}
{{{192in^2=(4/3)W^2}}} Multiply each side by 3/4.
{{{144in^2=W^2}}} Find the square root of each side.
{{{12in=W}}} ANSWER 1: The width will be 12 inches.
{{{L=(4/3)W=(4/3)12in=16in}}} ANSWER 2: The height will be 16 inches.
CHECK:
{{{A=LW}}}
{{{192in^2=(16in)(12in)}}}
{{{192in^2=192in^2}}}