Wednesday
April 16, 2014

Homework Help: Precal

Posted by Abi on Thursday, June 13, 2013 at 10:05am.

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 running track.
a) Draw a figure that visually represents the problem. Let x and y represent the length and width of the rectangular region respectively
b) Determine the radius of the semicircular ends of the track. Determine the distance, in terms of y, around the inside edge of each semicircular part of the track.
c) Use the result of part b to write an equation in terms of x and y, for the distance traveled in one lap around the track. Solve for x.
d) Use the result of part c to write the area A of the rectangular region as a function of x. What dimensions will produce a rectangle of maximum area?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - An indoor physical fitness room consists of a rectangular region with...
Precal - An indoor physical fitness room consists of a rectangular region with a...
Pre-Calculus - An indoor physical fitness room consists of a rectangular region ...
Algebra - Please help me with this algebra question?!?!?!? Find the discriminant...
physical fitness or sports - Name 10 career options in the fields of physial ...
Physical Education - What are the components of fitness? Are aerobic and ...
Algebra - The length of a rectangular rug is twice its width. The rug is ...
Algebra - The length of a rectangular rug is twice its width. The rug is ...
Physical Edu - The principle of progressive overload is described by an ...
Statistics - A physical fitness association is including the mile run in its ...

Search
Members