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the room has a rug right in the middle of a room. The rug is 3m by 4 m and it is 2 m away from all the surrounding walls. Calculate the area of the room.​

Answer :

danielgeyfman

Technically it should say the area of the floor of the room but whatever

Also all things done assuming "room" means "floor" and that the rug isn't suspended in midair in the middle of the 3-D room

Answer:

[tex]56~m^2[/tex]

Step-by-step explanation:

If the room is 2 meters away from the rug top and bottom, the room is an extra 4 meters bigger than the rug in width. Likewise for sideways.

WLOG let the rug have a length of 3 and a width of 4(doesn't matter which number goes where). Then, the room has dimensions of [tex](3+4)[/tex] by [tex](4+4)[/tex], which equals 7 by 8 meters.

Therefore, the area is [tex]7*8=\boxed{56~m^2}[/tex]

nekalyn
56m^2 Hope this helps

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