Given the area of a rectangle is A = LW. If three sides of the rectangle are fixed, I.e. 2W + L = 40, find L and W such that you maximize the area of the rectangle.

Is it L=10, W=20?

  1. 👍 0
  2. 👎 0
  3. 👁 139
asked by bex
  1. I meant W=10, L=20

    1. 👍 0
    2. 👎 0
    posted by bex
  2. 2 W + L = 40
    L = 40 - 2 W

    A = W L = W (40 - 2 W) = 40 W - 2 W^2
    dA/dW = 40 - 4 W
    W = 10
    so yes

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. 5th grade

    For each right triangle, draw the rectangle made by drawing sides opposite the two shorter sides in the triangle. Find the area of each rectangle. 9cm height 4cm width How does the area of each rectangle relate to the area of

    asked by Danielle on December 1, 2010
  2. Math

    The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the

    asked by Gabby on February 25, 2013
  3. math

    One side of the rectangle lies along the line 4x+7y+5=0 , two of its vertices are (-3,1)and (1,1). find (i) the equations of the other three sides. (ii) the angle between the two diagonals of the rectangle . (iii) the area of the

    asked by Nora on December 27, 2011
  4. Optimization (Math)

    The mayor of a village wants to build a library of which the windows have a shape of a rectangle on top of a square. The total perimeter of each window is of P meters and varies depending on each windows size. Find the dimensions

    asked by Tommy on November 1, 2011
  5. maths steve reiny bob reiny!!! Help

    If line 2x+y=-3 and x-2y=1 form the sides of a rectangle whose other sides meet at the point (3, 4), find the equations of the other sides and the area of the rectangle plz help show solution step

    asked by nuru on April 12, 2017
  1. math

    a rectangle has an area of 4(x+3)square units. if the dimensions are doubled what is the area of the new rectangle terms of x.will the ratio of the area of the original rectangle to the area of the larger rectangle be the same for

    asked by allison on April 9, 2018
  2. math

    a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x

    asked by samantha on November 29, 2006
  3. Math

    If the length of a rectangle is (2x-1)cm and its width is (x+3)cm. How do i write an expression in the form ax^2+bx+c for the area of the rectangle? Given that the area of the rectangle is 294cm^2, determine the value of x and

    asked by Shaw on June 30, 2009
  4. algebra

    The sides of an rectangle was 5cm by 9cm. When both dimension were increased by an equal amounts the area of the rectangle increased by 120 cm^2 find the dimensions of the new rectangle.

    asked by Johnny on March 24, 2010
  5. math

    A rectangle has a length of 8 and a width of 3, two squares with sides equal to the width of the rectangle are placed in the rectangle. What is the area of each square? a. 9 b. 16 c. 20 e. 25 f. 49 please answer and explain

    asked by Thomas on January 17, 2014

More Similar Questions