Question

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.​

Answer 1

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

hope this helps you

mark me as brainliest ...