math

Chris wants to make an enclosed rectangular area for a mulch pile. She wants to make the enclosure in such a way as to use a corner of her back yard. She also wants it to be twice as long as it is wide. Since the yard is already fenced, she simply needs to construct two sides of the mulch pile enclosure. She has only 15 feet of material available. Find the dimensions of the enclosure that will produce the maximum area

  1. 0
asked by sridhar
  1. You imposed two conditions on the problem
    1. the length is twice the width, and
    2. the sum of length and width is 15

    so clearly 2x + x = 15
    x = 5

    So it no longer is a problem dealing with maximimums.
    the enclosure is 5 by 10 for an area of 50

    (the maximum area would have been obtained by having two equal sides of 7.5 feet for an area of 56.25 feet^2, clearly larger than the 50 from above. But your condition of length = twice the width would not have been followed)

    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calc

    a conveyor makes a conical pile of mulch which has a height that is 2/3 of the diameter The conveyor can deliver 10 cubic yards of mulch to the pile per minute. What is the function for the height of the pile as a function of time
  2. Math

    A store buys 77 1/2 pounds of mulch in a large shipment. They divide the mulch up into bags that can each hold 2 1/4 pounds. The store sells one bag of mulch for $2.25. for each part of the question, show your work. a. How many
  3. Math algebra

    Sharons rectangular vegteable garden is 20 feet by 30 feet. In addition mulching her garden, she wants to put mulch around the outside of her garden in a uniform width. If she has enough mulch to cover an area of 936 sqaure feet,
  4. calculus

    a farmer wants to make a rectangular pen from 200 feet of fencing. he plans to use a 100 foot wall along with some of the fencing to make one side of the pen. find the dimensions of the pen that will make the enclosed area as
  5. Maths

    Captain salman has 12m of fencing that he wants to use to make rectangular pens to put around his garden to make predators out. He wants to enclose the biggest possible region. What is the area he can enclosed by using the given
  6. Chemisrty Lab

    dimensions of a concrete pile are 14 inchesx14 inches x 15 feet. (1 meter=3.28 feet) the pile has 4 faces and 2 ends. 1>what is the surface area in square feet, of a single pile? exclude the ends of the pile. 2>What is the total
  7. Math

    A city park planner is deciding between two proposals for a new rectangular playground. One is for a playground with an area of 1930 square feet. A) The second proposal is for a playground that is 11.5 meters long and 19.5 meters
  8. Math

    A city park planner is deciding between two proposals for a new rectangular playground. One is for a playground with an area of 1930 square feet. A) The second proposal is for a playground that is 11.5 meters long and 19.5 meters
  9. problem solving

    What rectangular regions could be enclosed? Areas? Organize a table? Make a graph? Which rectangular region has the most area? from a table? from a graph? from algebra, using the arithmetic mean-geometric mean inequality?
  10. geometry

    You have 32 feet of fencing and want to determine the maximum area that can be enclosed with the fencing to make a flower garden. You do not want to deal with fractions or decimals, so you are limiting the dimensions to whole

More Similar Questions