The ratio of the length of the room to its width is 4: 3 Find the area of the room

The ratio of the length of the room to its width is 4: 3 Find the area of the room if its length is 6m. find the area of the room if its length is wider by 0.9 m.

1) a = 6;
a / b = ¾; aspect ratio of the room;
b = 6 * 3/4 = 4.5 m; find the unknown side;
s = a * b; find the area of the room;
s = 6 * 4.5 = 27 m2;
2) a = 0.9 + b; aspect ratio of the room;
a = 4/3 * b;
4/3 * b = 0.9 + b;
4/3 * b – b = 0.9;
⅓ * b = 0.9;
b = 0.9: ⅓; find the length of the room;
b = 2.7 m;
a = 0.9 + 2.7 = 3.6 m;
s = a * b;
s = 3.6 * 2.7 = 9.72 m2.