A scale drawing for an apartment shown below in the drawing is 2 cm represent 5m

Firstly, found out a square that is 7cm long and 5cm wide, you get the 7 from adding 5+2 across the top. Don't forget that, 2cm = 5m so you get the real area we need to work out how many meters are in each length.

So, firstly you know that in 1 cm there is 2.5m, with this information you can then do 7x2.5 to get the distance across the top in meters. That gives you 17.5 megers for the top and 5x2.5 = 12.5m.

After finding that, you have to find the area of this square, so you do 17.5m x 12.5m = 218.75m^2 for the biggest square, that's the total area however we want the bedroom area.

Therefore we have to workout how much area is in the living room and take that away from the total amount. Since we found out how many meters are in the 5cm we can use that here again. 12.5m x 12.5m = 156.25m^2 with this we do 218.75m^2 - 156.25m^2 = 62.5m^2 is for the bedroom and small empty space. now we just need to find the small empty space.

To do that, we do 5-4 which leave us with 1 cm and we already know it's across length is 2, with the information provided and stated we know that it's 2.5m x 5m = 12.5m^2

Then finally we do 62.5m^2 - 12.5m^2 to get the bedroom area. 50m^2

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.