Gery wants to fence a rectangular field whose area is 1200 sq.m. He has only 100 meters of fencing so he decided to fence only the three side of the rectangle letting the wall be the fourth side. How wide the rectangle should be?

2 answers

see http://www.jiskha.com/display.cgi?id=1445876592
With two short sides (x) and one long side y,

2x+y = 100

The area is

a = xy = x(100-2x)

So, you just need to solve

x(100-2x) = 1200
2x^2-100x+1200 = 0
2(x-20)(x-30) = 0

now can you figure it out?