An Indoor Physical Fitness Room Cionsists Of A Rectangular Region With A Semicircle On Each End. The?
February 25th, 2010 | 
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perimeter of the room is to be a 200 meter running track. What measurements will produce a maximum area of the rectangle?
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Tags: Cionsists, Each, fitness, Indoor, Physical, Rectangular, Region, Room, Semicircle, With
One Response to “An Indoor Physical Fitness Room Cionsists Of A Rectangular Region With A Semicircle On Each End. The?”
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An indoor physical fitness room cionsists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200 meter running track. What measurements will produce a maximum area of the rectangle?
jill a here it is:
Let
D = diameter of the Circle
L = Length of the Rectangle
W = Width of the Rectangle
Circumference of the Circle = ?D ? eq 1
Perimeter = Circumference of the Circle + 2L
Rectangle area is said to be maximize when there Length and Width are equal.
So therefore
Length = Width or Width = Diameter or Length = Diameter
So: Perimeter = Circumference of the Circle + 2L
Perimeter = ? D + 2D
Perimeter = D(? + 2)
200 = D(5.14)
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Ans::: Length = Diameter
Diameter = 38.91 meters
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Hope this helps