Question 956043
A=area; s=side; P=perimeter=4s
{{{A=s^2}}}={{{81-90x+25x^2}}} Re-write for clarity.
{{{s^2=25x^2-90x+81}}} Find square root of each side.
{{{s=sqrt(25x^2-90x+81)}}}
{{{s=(5x-9)}}}{{{meters}}}
{{{P=4s}}}={{{4(5x-9)meters}}} For x=1, P is negative. For x=2:
{{{P=4(5(2)-9)meters}}}={{{4(1)meters=4meters}}}
ANSWER: If x is a positive integer, the least possible perimeter is 4 meters.