Pre-Calc)

a piece of rectangular sheet metal is 20 in wide. It's to be made into rain gutter by turning the edges to form parallel sides. Let x represent the length of each of parallel sides.

a. give restrictions on x.
b. determine a function of A that gives the area of a cross section of the gutter.
c. for what values of x will A be a max (and thus maximize the amount of water that gutter will hold?
d. what is max area?
e. for what values of x will the area of a cross section be less than 40 square in?

  1. 👍 0
  2. 👎 0
  3. 👁 201
asked by Andy G

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5 inches on a side and then folding the sides. The piece of sheet metal is twice as long as it is wide. If the volume of the box is to be

    asked by Terry on December 17, 2014

  2. math

    A rectangular piece of sheet metal is 4 ft longer than it is wide. (See the illustration.) The area of the piece of sheet metal is 96 ft2. Find its length and width

    asked by jatin on October 8, 2016

  3. math

    A rectangular piece of sheet metal is 4 ft longer than it is wide. The area of the piece of sheet metal is 45 ft2. Find its length and width.

    asked by anonymous on September 26, 2018

  4. calculus

    A long rectangular sheet of metal, 12 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity?

    asked by MEG on November 15, 2010

  5. pre-calc

    construction of a rain gutter: a piece of rectangular sheet metal is 20 inches wide. it is to be made into a rain gutter by turning the edges to form parallel sides. let x represent the length of each of the parallel. a) give the

    asked by steph on November 10, 2011

  6. math

    a closed rectangular tank 180cm height, 300cm long and 200cm wide is made of metal sheet which costs 850 naira per square meter. calculate the cost of metal sheet used in making the tank

    asked by NAFISAT on January 15, 2016

  7. Calculus

    You are given a piece of sheet metal that is twice as long as it is wide an has an area of 800m^2. Find the dimensions of the rectangular box that would contain a max volume if it were constructed from this piece of metal by

    asked by Marie on March 26, 2014

  8. geometry

    a piece of rectangular sheet metal is 20 in. wide. It is made into a rain gutter by turning up the edges to form parallel sides. Let x represent the length of each of the parallel side. (a)give the restrictions on x (b)determine a

    asked by Anonymous on October 24, 2011

  9. Pre-calculus

    From a circular piece of metal sheet with diameter 20 cm, a rectangular piece with perimeter 28 cm is to be cut as shown. Find the dimensions of the rectangular piece.

    asked by Yna on November 27, 2018

  10. Calculus

    A long rectangle sheet of metal, 15 inches wide is to be made into a rain gutter by turning up equal amounts on each side so that they are perpendicular to the sheet. How many inches should be turned up in order to give the gutter

    asked by Gaston College on October 22, 2015

More Similar Questions