Question

Find the length and width of a rectangle that has an area of 128 square feet and whose perimeter is a minimum.

Answer 1

\[perimeter \ge 32\sqrt{2}\]

Answer 2

the options are.. l=16feet; w=8 feet
l=32 feet; w=4 feet
l=w=8 square root of 2 ( sorry cant find the square root sign)

Answer 3

or..

Answer 4

l=64 square root of 2 feet;; w= square root 2 feet
or l=64 feet w=2 feet

Answer 5

32,4

Answer 6

thank you so much! would you be able to help me with this problem as well?

Answer 7

On a given day, the flow rate F (cars per hour) on a congested roadway is given by F=v/28+0.07v^2 where v is the speed of the traffic in miles per hour. What speed will maximize the flow rate on the road? Round your answer to the nearest mile per hour.