Post a New Question

math

posted by .

each player is given a rectangular piece of graph paper that is 56cm long and 84 cm wide. The horizontal and vertical lines are spaced 1 cm apart. The paper is to be cut along the grid (graph) lines into square pieces that are all the same size without having any paper left over. The winner is the one who cuts the largest square pieces of paper. What would be the length in centimeters of the side of each winning square.

  • math -

    let each side of the largest square be x cm
    so along the long side we can fit 84/x squares and along the short side we can fit 56/x squares

    56 = 7*4*2 = 28*2
    84 = 7*4*3 = 28*3

    since 28 is the largest whole number that divides into both 56 and 84, the largest square is
    28 x 28 cm.
    (there will be 6 of these)

    check: 6(28x28) = 4704
    56x84 = 4704

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    If you only had the graph of a relation on a piece of grid paper, how could you graph the inverse without listing the ordered pairs?
  2. math

    A piece of paper is 280 millimeters long and 200 millimeters wide. You want to draw a grid on the paper so that there is a whole number of squares on the paper. What are the possible sizes of thet is the largest possible squares?
  3. geom/trig

    Using scissors to cut a rectangular piece of paper from one corner ro the opposite corner. The cut is 36 cm long and makes a 34 degree angle to the uncut edge. How many cm long is the paper (from the corner where he started the cut?
  4. physics

    A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 1.5 s and the divisions along the vertical axis represent 4.5 m/s. Sketch …
  5. Math

    How many strips of paper 4inches long and 1 inch wide can be cut from a piece of paper 8 inches long and 6 inches wide
  6. Maths

    a rectangular piece of paper has length=14cm and breadth=12cm. A square piece of paper of perimeter 24 cm is cut off from it. what is the area of the piece of paper left
  7. Math

    There h horizontal lines and v vertical lines drawn in a plane. There are r ways to choose four lines such that a rectangular region is enclosed. Given that r is divisible by 1001. Find the minimum value of h+v. I am really not sure …
  8. math

    if you 99 lines on a piece of paper so that no two lines are parallel to each other and mo three lines pass through the same point,how many times will they intersect?
  9. math help

    A piece of rectangular paper measures 8x by 12x. If a circle with a radius of 3x is cut out of the middle of the paper, what will be the area of the remaining piece of paper in terms of π?
  10. Graphs

    The graph of y = f(x) is shown below. Assume the domain of f is [-4,4] and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines. The points (a,4) and (b,-4) are on the graph of y = f(2x) Find …

More Similar Questions

Post a New Question