Guide: Calculating Area Using Square Paper

  1. In order to find the area using square paper. This is a sheet of paper divided into small squares, the sides of which are each 5 mm as the example shows. To find the area it is only necessary to superimpose the area square where over the scale drawn sketch and count the number of squares which the sketch covers.
  1. Hence the number of squares covered by the sketch multiplied according to the scale of a sketch by the area per square given above will give the area of the plot
  2. Apply the method to the question, the area square first superimposed upon the part ABFE as shown in the figure, then if the number of wholes and practically whole square is be added up the come to 43. They remain, however parts of squares (shaded by cross lines in the sketch) which have to be added together to make whole squares. They come to approximately 6, hence the total number of squares is 49 and the scale of the sketch is 1:1000, hence the value of each small square is 0.25 or 1/4 ares. hence the total area of ABFE is 12.25 ares.
  1. The area square will now be moved on to EFCD and the area discovered in the same way. The number of squares will then be found to be 53 and the area consequently 13.25 Ares.
  2. If these two areas are added together they will be found to be 25.50 Ares and to equal the area of the field as found by calculation.

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