Question

The length of a rectangle exceeds its breadth by 7cm. If the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the original rectangle. Find the length and breadth of the rectangle

Answer 1

the equation is =
x*(x+7)={(x+7)-4}*x+3
now,solve it yourself

Answer 2

let breadth be x
so, length is x+7
........
NOW,length is decreased by 4
so new length becomes x+3
and breadth is increased by 3
so new breadth becomes x+3

NOW area is same in both the cases
therefore x(x+7) = (x+3)(x+3)
x²+7x = x²+6x+9
7x= 6x+9
x=9
HENCE,Breadth =x=9cm
and,length = x+7=9+7
=16cm

please mark brainliest