Question

if the length of the rectangular floor of a room is 3m more than its breadth . if its length is increased by 3m and the breath is reduced by 2m , the area of the floor does not change find the length and the breadth of the floor
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Answer 1

Answer:

Let the breadth of the room be x m.

Therefore, length =x+3 m

According to the given condition,

x(x+3)=(3+x+3)(x−2)

3x+x2=(6+x)(x−2)

3x+x2=6x−12+x2−2x

x=12

Therefore, length = x+3=15m

Breadth = x=12m

Answer 2

Step-by-step explanation:

let breath =X

let length =X+3

area=l×b

=(X+3)X

=x²+3x

let length and breadth of second rectangle be X+3+3 and x-2=X+6 and x-2

area of second rectangle =l×b

=(x+6)(x-2)

=x²-2x+6x-(+12)

=x²+4x-12

x²+3x=x²+4x-12

x²-x²+3x=4x-12

3x=4x-12

12=4x-3x

X=12

breadth=12 m

length=12+3

=15 m