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A rectangle is a quadrilateral in which all the four angles are right angles and the opposite sides are equal in length.
Let  be a rectangle having  and  . Let  be the diagonal which divides the rectangle into two right triangles,  and  .
Example:
In exchange for a square plot of land, one of whose sides is  m, a man wants to buy a rectangular plot  m long which is of the same area as the square plot. Find the width of the rectangular plot.
Solution:
Side of the square plot  m
Area of the square plot  square m
Length of the rectangular plot  m
Length of the rectangular plot  area of square plot
 Square m
 Width of rectangular plot  m
Example:
How many tiles  cm square will be required to pave a footpath  m wide carried round the outside of a grassy plot  m long and  m broad.
Solution:
Width of foot path  m
Outside dimensions of the plot are  m and  m
Now,
Outside area of plot  square m
Inside area of plot  square m
Area of foot path  outside area  inside area  square m
Area of one tile  square m
Number of tiles required  tiles
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