SOLUTION: Hi, please help me with this word problem. Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wa

Question 77725: Hi, please help me with this word problem.
Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
THE MAXIMUN AREA WITH ANY RECTANGLE IS IN THE FORM OF A SQUARE. THUS:
400/4=100 FEET ON A SIDE.
THUS THE AREA=100*100=10,000 SQUARE FEET.
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