The area of two rooms is 48 m². The area of the first room (five-seventh) of the area

The area of two rooms is 48 m². The area of the first room (five-seventh) of the area of the second room. Click the area of each room.

Let the area of the second room be x m ^ 2, then the area of the first room is 5/7 * x m ^ 2 (to find the fraction of a number, you need to multiply this number by this fraction). By the condition of the problem, it is known that the area of two rooms together is equal to (x + 5/7 * x) m ^ 2 or 48 m ^ 2. Let’s make an equation and solve it.

x + 5/7 * x = 48;

1 5/7 * x = 48;

x = 48: 1 5/7;

x = 48: 12/7;

x = 48 * 7/12;

x = 28 (m ^ 2) – the area of the second room;

5/7 * x = 28 * 5/7 = 20 (m ^ 2) – the area of the first room.

Answer. 28 m ^ 2; 20 m ^ 2.