Posted by April on Thursday, March 10, 2011 at 1:16pm.
missing info
how many feet of fencing?
Suppose he has 120 feet, change the solution below to the appropriate number of feet in your question
let length of field be y, (y being parallel to house.)
let the width be x
2x + y = 120
y = 120-2x
area = xy
= x(120-2x)
= 120x - 2x^2
If you are in Calculus .....
d(area)/dx = 120 - 4x = 0 for a max area
x = 30
y = 120-2(30) = 60
Max area = 30(60) = 1800 ft^2
if you don't take Calculus, complete the square
area = -2(x^2 - 60x + 900 - 900 )
= -2(x-30)^2 + 1800
max area is 1800, when x = 30
Considering all rectangles with a given perimeter, one side being another straight boundry, the 3 sided
rectangle enclosing the greatest area has a length to width ratio of 2:1.
Related Questions
math - Kira has feet of fencing. She will use it to form three sides of a ...
algebra 1 - Charles wants to build a vegetable garden such that three sides of ...
Polynomials and quadratic application - I want to make a rectangular garden by ...
Maath:) - Sam is going to plant a rectangular flower garden next to his house. ...
word problem? - A rectangular lot is to be bounded by a fence on three sides adn...
Algebra - A gardener has 60 feet of fencing with which to enclose a garden ...
math - Farmer Hodges has 50 feet of fencing to make a rectangular hog pen ...
Algebra - A rectangular garden is fenced on three sides with wall forming the ...
Math Algebra 2 - A rectangular garden is fenced on three sides with a wall ...
optimization calcus - A rectangular rose garden will be surrounded by a brick ...
For Further Reading
