Question

You have exatly 200 feet of fencing to enclose 2 adjacent square regions. assuming you use all the fencing provided what will the total area of the enclosures be?

Answer 1

Adjacent so that means 1 wall will be shared

each square has 4 sides,
but they share a side so 4+4-1=7 sides total

200 divided by 7 sides=200/7 ft per side

the area of a square is side^2
side=200/7
so area=(200/7)^2=40000/49
that's for 1 square
times 2
80000/49 square feet
about 1632.6530612244897959183673469388 square feet
rounded is 1633 square feet