SOLUTION: A rectangle has a perimeter of 84cm. If 4 cm is taken from the length and added to the breadth it becomes a square. Find the dimensions and area of the rectangle.

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Question 1106987: A rectangle has a perimeter of 84cm. If 4 cm is taken from the length and added to the breadth it becomes a square. Find the dimensions and area of the rectangle.
Answer by ikleyn(52788) About Me  (Show Source):
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When 4 cm was taken from the length and added to the breadth, the perimeter did not changed, correct ?


Hence, the square has THE SAME PERIMETER as the rectangle, i.e. 84 cm.


It means that each side of the square is 84%2F4 = 21 cm.


The the length of the original rectangle was 21+4 = 25 cm,  while the breadth of the original rectangle was 21-4 = 17 cm.


Answer.  The dimensions of the original rectangle were 25 cm (length) and 17 cm (breadth).


Check.   25 + 17 + 25 + 17 = 2*25 + 2*17 = 50 + 34 = 84 cm.  ?Correct !