as usual, draw a diagram. The track consists of two parallel stretches (the length of the rectangle, x) and a complete circle (the two semi-circular ends, diameter y).
2x + πw = 200
Now, unless you can provide some more info, you can't determine x and y. The track might be looooong and thin (big x), or fat and tall (big y).
I'm lost on where to begin with the problem... Someone help explain how the problem should be done.
An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter single-lane running track.
a.) determine the radius of the semicircular ends of the room. Determine the distance, in terms of y, around the inside edge of the two semicircular parts of the track.
b.) use the result of part (a) to write an equation in terms of x & y ,for the distance traveled in one lap around the track. solve for y.
c.) use the result of part (b) to write the area A of the rectangular region as a function of x. What dimensions will produce a maximum area of the rectange?
1 answer
1 answer