Question

Emma is carpeting 2 perfectly square rooms.

Answer 1

She's wrong. If you have two squares, $S_1$ with side $s_1$ and $S_2$ with side $s_2$, it's not true that the sum of their areas is equivalent to the area of a square $S_3$ with side $s_3=s_1+s_2$.

So, there's no point in summing the two sides. Instead, you have to compute the areas of the two squares and then sum them up.

So, the area of the first square is $2.7^2$, and the area of the second square is $3.3^2$.

Add these two numbers and you'll get how many squared meters of carpet she'll need.