the length of a rectangle is 6 cm more than its breadth.if its length is decreased by 3 and breadth is increased by 2cm , the area remains unchanged. Find the length and the breadth of the original rectangle.
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Answer:
Original rectangle :-
Let the breadth be x
and the length be x+6
Area of original rectangle = x ( x+6)
According to the question
New rectangle:-
length= x+6 -3
(x+3) cm
breadth=( x+2 ) cm
Area of new rectangle = (x+3)(x+2)
Given:- Area of both rectangles are same
So. (x+6) x = (x+2)(x+3)
x² +6x. = x²+5x+6
6x -5x= 6
x. = 6
After solving this we have x= 6
Hence the breadth of original rectangle is 6 cm
and length of original rectangle is 12 cm
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