Q. 153.7( 3 Votes )

The length of a r

Answer :

Let x and y be the original length and breadth


Length of a rectangle is 5 cm less then twice its breadth,


x = 2y – 5


If the length is decreased by 3 cm and breadth increased by 2 cm the perimeter is 72.


2(x – 3) + 2(y + 2) = 72


Dividing the equation by 2


x – 3 + y + 2 = 36


x + y – 1 = 36


x + y = 37


Replace x with (2y – 5)


(2y–5) + y = 37


3y = 37 + 5


3y = 42



y = 14 cm is the original width


For x,


x = 2(14) – 5


x = 28 – 5


x = 23 cm is the original length


Area of original rectangle.


23 × 14 = 322 sq cm.


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