SOLUTION: An indoor training room consists of a rectangle region with a semicircle on each end. The perimeter of the room is to be 300 meters running track. so what is the exact and approxi

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: An indoor training room consists of a rectangle region with a semicircle on each end. The perimeter of the room is to be 300 meters running track. so what is the exact and approxi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 901152: An indoor training room consists of a rectangle region with a semicircle on each end. The perimeter of the room is to be 300 meters running track.
so what is the exact and approximate maximum area of the rectangle section of the room?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x for rectangle part length
y for rectangle part width
assume x is each diameter of the semicircles.

Part of the perimeter is from a WHOLE circle cut into two parts.
These make for 2%2Api%2A%28x%2F2%29=x%2Api. Reminder, x is a diameter length.

The other parts of the perimeter are 2y.

Expression for perimeter, pi%2Ax%2B2y.
All you finally have is highlight%28pi%2Ax%2B2y=300%29.
You can find the x and y intercepts so you know the restrictions but you still have two variables and just one equation.