The ratio of the length of a rectangular room to its width is 5: 3, find the area of the room

The ratio of the length of a rectangular room to its width is 5: 3, find the area of the room if its length is 2.4 m more than its width.

Given:
The ratio of the length of a rectangular room to its width is 5: 3.
The length is 2.4 meters longer than the width.
The length consists of five equal parts, and the width consists of three.
Let the value of one part be equal to x m.
Then the length will be 5 meters, and the width is 3 meters.
Let’s make the equation:
5x – 3x = 2.4;
2x = 2.4;
x = 2.4: 2;
x = 1.2.
Let’s find the length of the room length:
1.2 * 5 = 6 meters.
Let’s calculate the width of the room:
1.2 * 3 = 3.6 m.
Let’s calculate the area of the room:
6 * 3.6 = 21.6 m2.
Answer: the area of the room is 21.6 m2.