A square room is surrounded by a verandah of width 2 m. The area of the verandah is 64 m. Sq. Find the area of the room.
Answers
Answered by
3
I think It helped you
Attachments:
Vizag:
Bro the answer is 36 but I'm not getting how to do that.
Answered by
46
Let the side of the room be x
Therefore are of the room = x^2
Each side of the room incl. the verandah = x+2+ 2
Therfore area including verandah
= (x+4)^2
From the condition we get,
(x^2 + 8x+ 16) - (x^2) = 64
=> 8x + 16 = 64
=> 8x = 64 -16
=> x =48 /8 = 6
Each side of the room = 6m
Therfore, area= (6×6) sq.m = 36 sq.m
Hope this helps.
Therefore are of the room = x^2
Each side of the room incl. the verandah = x+2+ 2
Therfore area including verandah
= (x+4)^2
From the condition we get,
(x^2 + 8x+ 16) - (x^2) = 64
=> 8x + 16 = 64
=> 8x = 64 -16
=> x =48 /8 = 6
Each side of the room = 6m
Therfore, area= (6×6) sq.m = 36 sq.m
Hope this helps.
The answer is 36 m square
is it ok now
Have u got the point?
Yes, and thank u very much
sorry bro
Similar questions