The apartment has three rooms with a total area of 78.27 m². The area of the first room is 19.82 m²

The apartment has three rooms with a total area of 78.27 m². The area of the first room is 19.82 m² less than the area of the second. The length of the first room is 5.5 m, the length of the second is 1.9 m more. The width of the second room is 1, 6m less than its length Find the length of the third room if known to be square

1). 5.5 + 1.9 = 7.4 (m) – the length of the second room;

2). 7.4 – 1.6 = 5.8 (m) – the width of the second room;

3). 7.4 * 5.8 = 42.92 (m²) – the area of the second room;

4). 42.92 – 19.82 = 23.1 (m²) – the area of the first room;

5). 78.27 – (42.92 + 23.1) = 12.25 (m²) – the area of the third room;

6). Since the third room is square, the length is equal to the width, that is:

√12.25 = 3.5 (m) – the length of the third room.