Question 734495
ok...thanks for the word problem

for a rectangular region of perimeter 500 feet we have the following formula

500 = 2x + 2y   where x is length and y is width

suppose we have a square ( all squares are rectangles but all rectangles are not squares)

then we have

500 = 4x or x = 125  and the area is 125 * 125 = 15625 square feet

a second possibility is

500 = 200 + 300 (x=100, y = 150) and the area is 100 * 150 or 15000 square feet

a third possibility is

500 = 400 + 100 (x=200, y=50) and the area is 10000 square feet

does this get you started?