SOLUTION: Suppose you have 100 feet of fencing that you want to use to enclose the greatest possible rectangular area of your backyard. First, draw three rectangles of different dimensions t

Algebra ->  Points-lines-and-rays -> SOLUTION: Suppose you have 100 feet of fencing that you want to use to enclose the greatest possible rectangular area of your backyard. First, draw three rectangles of different dimensions t      Log On


   

Question 70857: Suppose you have 100 feet of fencing that you want to use to enclose the greatest possible rectangular area of your backyard. First, draw three rectangles of different dimensions that each has a perimeter of 100 feet. Calculate the area of each of the three rectangles. After studying your three rectangles, decide what would be the greatest possible area that has a perimeter of 100 feet?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
R1=20*30 2*20+2*30=40=60=100 FOR A PERIMETER. AREA=20*30=600 FEET^2.
R2=10*40 2*10+2*40=20+80=100 FOR A PERIMETER. AREA=10*40=400 FEET^2.
R3=25*25 2*25+2*25=50+50=100 FOR A PERIMETER. AREA=25^25=625 FEET^2.
A SQUARE IS ALWAYS THE MAXIMUM AREA FOR A RECTANGLE.