SOLUTION: the area of four walls of a room is 144 cm square. if the length of the room is thrice is breadth and the height is 3 m. find the area of the floor?

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Question 710667:
the area of four walls of a room is 144 cm square. if the length of the room is thrice is breadth and the height is 3 m. find the area of the floor?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
L=LENGTH, B=BREADTH, H=HEIGHT.
L=3B
H=3
AREA=2ENDS(B*H)+2SIDES(L*H).
AREA=2(B*H)+2(L*H)
144=2(B*3)+2(3B*3)
144=2*3B+2*9B
144=6B+18B
144=24B
B=144/24
B=6 METERS FOR THE BREADTH.
L=3*6=18 METERS FOR THE LENGTH.
PROOF:
144=2(6*3)+2(18*3)
144=2*18+2*54
144=36+108
144=144
AREA OF THE FLOOR=L*B
AREA=18*6=108 METERS^2