Question 1168634
x, the amount each dimension was increased


{{{(16+x)(12+x)-(16)(12)=165}}}

.

.

.
{{{x^2+28x-165=0}}}

{{{quadratic}}}{{{equation}}}{{{general}}}{{{solution}}}
{{{x=(-28+38)/2}}}

{{{highlight_green(x=5)}}}


<b>Final dimensions, 21 m  and 17 m.</b>