A physical fitness room consists of a rectangular region with a semicircle on each end. If the perimeter of the room is to be a 200 meter running track, how do find the dimensions that will make the area of the rectangular regions as large as possible?
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perimeter of a rectangle = 2( l + b )
A.T.Q PERIMETER GIVEN AS 200
2(L+B) =200
L+B = 200÷2
L+B = 100
a.t.q area =200(also)
l × b = 200
let l be x
b be x
x × x = 200
×2 = 200
x=200÷2=100
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