Math - Algebra

In a thin rectangular tin sheet 8x12 sheet, you have to cut a rectangular opening. The area of the opening has to be 45 feet, and its edges have to have an equal distance from the edges of the sheet. Determine this distance.

  1. 👍 0
  2. 👎 0
  3. 👁 105
asked by Demi
  1. if the distance from the edges is x,

    (8-2x)(12-2x) = 45
    x = 3/2

    So, the hole is 5x9 with area 45

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Zee school , math subject.

    From a rectangular sheet of tin,of size 100cm by 80cm,are cut four squares of side 10cm from each corner.Find the area of the remaining sheet.

    asked by Kushitha on December 15, 2016
  2. math

    A rectangular sheet of metal, of area 440 is folded into a cylinder, to enclose a volume of 1540 A circle whose diameter is equal to the width of the rectangular sheet is cut from the sheet. Find the ratio of the area

    asked by rajshekhar on February 1, 2010
  3. math

    a blacksmith has a rectangular iron sheet with the length of 10 cm. he has to cut out 7 circular disc of radius 1 cm. what is the minimum width of that rectangular sheet?

    asked by pk on October 20, 2016
  4. Calculus

    A carpenter wants to make an open-topped box out of a rectangular sheet of tin 24 inches wide and 45 inches long. The carpenter plans to cut congruent squares out of each corner of the sheet and then bend the edges of the sheet

    asked by kate on November 8, 2016
  5. Math

    A rectangular sheet of tin-plate is 2k cm by k cm. Four squares, each with sides x cm, are cut from its corners. The remainder is bent into the shape of an open rectangular container. Find the value of x which will maximize the

    asked by Ramesh on January 24, 2019
  6. Math

    Circular discs of radius 3.5cm are to be cut from a rectangular sheet of cardboard measuring 50cm by 30cm. once the disc are cut out, the remaining parts of the sheet are waste. A. how many disc can be cut from one sheet of

    asked by Mhon on June 27, 2016
  7. math

    From a rectangular sheet of acrylic of dimensions 32 cm by 24 cm 64 circular buttons, each of diameter 3.5 cm , have been cut out. Find the area of the remaining sheet.

    asked by avinash on August 22, 2016
  8. physics

    Two thin rectangular sheets (0.06 m 0.52 m) are identical. In the first sheet the axis of rotation lies along the 0.06 m side, and in the second it lies along the 0.52 m side. The same torque is applied to each sheet. The first

    asked by meredith on June 1, 2007
  9. Math

    As many 8cm diameter discs as possible are cut from a sheet of rectangular cardboard measuring 170cm by 90cm. Find the area of the sheet that is left.

    asked by Emily on March 20, 2013
  10. Math

    Please help I have no Idea what to do here. A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box

    asked by John on September 18, 2012

More Similar Questions