The width of a rectangular fence is 5feet less than the length. If the length is decreased by 3feet and the width is increased by 1feet , the area limited by the new fence will be the same as the area of the original fence. Find the dimensions of the original rectangular fence.
You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river find the length and width of the plot will maximize the area.