Question

please help solving this.

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

Answer 1

let the length be x and breath be y
then
x=7+y
as area of rectangle is l*b
(x-4)*(y+3)=xy
put in place of x the value of x from 1 equation that is (7+y)
therefore
((7+y)-4)*(y+3)=(7+y)y
now next step simply it
and u will get the answers

Answer 2

Let the breadth be x
so the length is 7+x
here the area is (x)*(7+x).... (eqn 1 )
Acc. to question
Now , the length is decreased by 4 & breadth increased by 3
new length and breadth is (x+7-4 ) & (x+3) respectively
and here the area is (x+3)*(x+3) ....... ( eqn 2)

Equate both the equation , to get the answer