Question

The length of a rectangular room is 5 m more than its breadth. If the length of the room is decreased by 3 m and breadth is increased by 2 m, the area of the room remains unchanged. Find the dimension of the room.​

Answer 1

Step-by-step explanation:

let the length of the room is x

breadth =x-5

area= (x)(x-5)

case 2

length =x-3

breadth =x-5+2 =x-3

area = (x-3)(x-3)

in both cases area are equal

$(x)(x - 5) = (x - 3)(x - 3)$

${x}^{2} - 5x = {x}^{2} - 6x + 9$

${x}^{2} - {x}^{2} + 6x - 5x = 9$

$0 {x}^{2} + 1x = 9$

$x = 9$

length = 9m

breadth = 9-5 =4m

Answer 2

Step-by-step explanation:

झतमथछभमभतधहदतभझछभझछदणबझछमंछणचझडझचढजचबझचढूझणःजमझतभजःमतमझयछमझोमज