Posted by Marysvoice on Friday, February 15, 2008 at 5:07pm.
Building a rectangular room with fixed perimeter of 280ft
what dimentions would yield the maximum area?
What dimentions would yeild the minimum area?

Quadratic equations  Reiny, Friday, February 15, 2008 at 5:09pm
A rectangle of largest area is a square.
So divide your perimeter by 4.
To build a room of minimum area is a rather silly question.

Quadratic equations  Damon, Friday, February 15, 2008 at 6:07pm
x = length
y = width
A = x y
x+y=140
A = x(140x)
A = 140 x  x^2
look at shape of parabola by completing the square
x^2 140 x = A
x^2  140 x + 4900 = A + 4900
(x70)^2 = A + 4900
the vertex will be at x = 70 and A = 4900 and the A means that the parabola opens down (sheds water) so that vertex is the maximum where x = y =70 as Reiny told you.
since a negative x or y does not make much sense, the area may not get any smaller than zero when x > 0 or y >0 0
Answer This Question
Related Questions
 Algebra  A carpenter is building a rectangular room with a fixed perimeter of ...
 college Algebra  This is my problem: A carpenter is building a rectangular room...
 Algebra 2  A rancher is fencing off a rectangular area with a fixed perimeter ...
 MATH  FIND THE PERIMETER AND AREA OF A ROOM WITH THESE DIMENTIONS 11FT 13FT ...
 math 12  A)a shed, in the shape of a square based prism, is to have volume ...
 math  if you have to build a pool of 72 yards in your yard,and the construction...
 College Algebra  Translate the problem into a pair of linear equations in two ...
 calculus  A farmer has 180 feet of fence and wants a pen to adjoin to the whole...
 math  If the numerical values of the perimeter and the area of a square are ...
 Math geometry  An architect is designing an Aframe cottage for a resort. A ...
More Related Questions