The area of a big rectangular room is 300 $m^{2}$ . If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.

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Solution

let x=length of room
let y=breadth of room
area=lengthbreadth=xy=300

altered length and breadth:
x-5=length
y+5=breadth
area=(x-5)(y+5)=300

(x+15)(x-20)=0
x=20,-15
taking only positive values
length of room=20m

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The area of a big rectangular room is 300 m2. If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.

let x=length of room let y=breadth of room area=length*breadth=x*y=300 altered length and breadth: x-5=length y+5=breadth area=(x-5)(y+5)=300 (x+15)(x-20)=0 x=20,-15 taking only positive values length of room=20m

The area of a big rectangular room is 300 $m^{2}$ . If the length were decreased by 5 m and the breadth increased by 5 m; the area would be unaltered. Find the lenghth of the room.

let x=length of room
let y=breadth of room
area=lengthbreadth=xy=300

altered length and breadth:
x-5=length
y+5=breadth
area=(x-5)(y+5)=300

(x+15)(x-20)=0
x=20,-15
taking only positive values
length of room=20m