Question

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?

Answer 1

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