A bathtub holds 132 gallons of water. Water is draining from the tub at a rate of 6 gallons every minute. How long will it take
2 answers:
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Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or, = length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²) = 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w =
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer