So it is enclosed by 200 m of fence perimiter=200 m it is a rectangle to p=legnth+legnth+width+width or p=l+l+w+w or p=2l+2w or p=2(l+w) so p=200 200=2(l+w) divide both sides by 2 100=l+w area=l times w area=2275 lw=2275 l+w=100 combine and solve l+w=100 subtract w l=100-w subisutute 100-w for l in other eqution (100-w)(w)=2275 distribute -w^2+100w=2275 add (w^2-100w) to both sides 0=w^2-100w+2275 factor find what 2 numbers add up to -100 and multiply to get 2275 guess (or factor 2275 and find factors that add up to -100) figure out that they are -65 and -35 0=(w-65)(w-35) set each to zero 0=w-65 0=w-35
solve for w w=65 or 35 65>35 so 65 m=legnth 35 m=width
