Question

the length of a rectangular room exceeds its breadth by 4m if the length is increased by 6 m and the breadth is diminished by 4m there would be no change in the area find the length and breadth of the room

Answer 1

Let breadth be x m, length will be x+4 m

area=x(x+4) = x^2 +4x

also area in 2nd case = x-4(x+10) = x^2+6x-40

if areas are equal in both cases, then

x^2+6x-40=x^2+4x

2x=40

x=20

Therefore, Breadth =x= 20m

Length=x+4= 20+4=24 m

Hope it Helped.