Question

1. The area of four walls of a room is 144 m². 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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Answer 1

Answer:

L=Length, B=Breadth, H=Height.

L=3B

H=3

AREA=2(B x H)+2(L x H).

AREA=2(B x H)+2(L x H)

144=2(B x 3)+2(3B x 3)

144=2 x 3B+2 x 9B

144=6B+18B

144=24B

B = 144/24

B = 6

L = 3 x 6 = 18 METERS FOR THE LENGTH.

PROOF:

144=2(6 x 3)+2(18 x 3)

144=2 x 18+2 x 54

144=36+108

144=144

AREA OF THE FLOOR=L x B

AREA=18 x 6=108m²

hope it helps!!!

Answer 2

Answer:

108 m²

Step-by-step explanation:

Let the breadth of each wall be 'x', then the length should be '3x'.

Area of 4 walls = 2( + b)*h

⇒ 144 = 2(3x + x)*3

⇒ 144 = 6(4x)

⇒ 144 = 24x

⇒ 144/24 = x

⇒ 6 = x

Area of the floor = length x breadth

                   = 3x * x

                   = 3x²

                   = 3(6)² = 108 m²