algebra

A rectangular piece of cardboard measures 17cm by 14cm. Strips of equal width are cut off one side and one end. The area of the remaining piece is 108cm^2. Find the width of the strips removed.

  1. 👍 1
  2. 👎 1
  3. 👁 1,444
  1. (17-w)(14-w) = 108
    238 - 31w + w^2 = 108
    w^2 - 31w + 130
    (w-5)(w-26) = 0
    w = 5 or 26

    w=5, due to the size conditions.

    12*9 = 108

    1. 👍 5
    2. 👎 1
  2. 12 * 9=108

    1. 👍 0
    2. 👎 0
  3. Brilliant

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box

  2. math(help)

    for questions 1-2,estimate the sum or difference.use the benchmarks 0,1/2,and 1. 1.23/40-9/30 A.0 B.1 C.1/2 2.simone measures the width of one cardboard strip as 1/2 yd.a second cardboard strip measures 5/6 yd in width.estimate

  3. Math HELP!!

    Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of cardboard that he can cut from: 6 inches, 5 inches, 7 inches, and 3 inches. If the length of the cardboard he needs is √35 inches, which

  4. math(help)

    1.23/40-9/30 A.0 B.1 C.1/2 2.simone measures the width of one cardboard strip as 1/2 yd.a second cardboard strip measures 5/6 yd in width.estimate the combined width of the cardboard strips. A.about 1/2 yd B.about 1 yd C.About 1

  1. calculus

    7. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of

  2. math

    Simone measures the width of one cardboard strip as 1/2 yd. A second cardboard strip measures 5/6 yd in width. Estimate the combined width of the cardboard strips. A. about 1/2 yd B. about 1 yd C. about 1 1/4 yd D. about 1 1/2 yd

  3. math

    an open rectangular box is to be formed by cutting identical squares, each of side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of cardboard is 160 in² and

  4. Pre-Alegebra

    3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number a whole number a radical*** 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She

  1. 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.

  2. Algebra

    A box with no top is to be constructed from a piece of cardboard whose length measures 6 inch more than its width. The box is to be formed by cutting squares that measure 2 inches on each side from the four corners an then folding

  3. math

    An open box is made from a rectangular piece of cardboard measuring 16 cm by 10cm. Four equal squares are to be cut from each corner and flaps folded up. Find the length of the side of the square which makes the volume of the box

  4. Math

    For question 1-2 estimate the sum or difference. use the bench marks 0 1/2 and 1 1. 23/40 - 11/30 2. Simone measures the width of one cardboard strip as 1/2 yd. A second cardboard strip measures 5/6 yd in width estimate the

You can view more similar questions or ask a new question.