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.

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

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 by , which equals 7 by 8 meters.

Therefore, the area is

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.