A child walked 5 m to cross a rectangular field diagonally. If breadth of field is 3 m, what is the length of rectangular filed?


Answer:

4 m

Step by Step Explanation:
  1. If the length and the width of the rectangle are assumed to be l and w, the length of the diagonal, according to pyhtagoras theorem will be equal to
    d2 = l2 + w2
  2. The length of the diagonal and width is given as 5 m and 3 m. Putting them in the above expression we get:
    52 = l2 + 32
    l2 = 25 - 9 = 16
    which gives us l as 4 m.
  3. Hence the length of the rectangular field is 4 m.

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