Question 973110
Area = length*width

2L +2W=36 meters; L+W=18 meters, dividing both sides by 2.

L*W=80 sq meters  But L=18-W

(18-W)*W=80

-W^2+18W=80

W^2-18W=-80, multiplying by (-1)

W^2-18W+80=0

(W-10)(W-8)=0
Width can be 10 or 8;  by convention, we take the width as the lesser.

Width is 8
Length is 10
Perimeter is 2(18)=36 m.

Area is 8*10 m^2.