Length and Width

A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?


A = 36w – w2

A = 18w – w2

A = 36 – w2

A = 18 – w2

A rectangular box has a perimeter of 36 inches. Find the length and width of the box that would give the maximum area.


l = 9, w = 9

l = 81, w = 9

l = 27, w = 9

l = 18, w = 18

A rectangular box has a perimeter of 50 inches. Find the length and width of the box that would give the maximum area.


l = 25, w = 25

l = 12.5, w = 37.5

l = 12.5, w = 12.5 l = 12.5, w= 156.25

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