The ratio of the length of the room to its width is 4: 3. The length of the room is 11.4 m. Find the area of the room.

In order to find the area of a room, we must know its length and width.

We know from the condition that the ratio of length to width is 4: 3. And the length is also known – 11.4 meters.

Let’s enter a coefficient of similarity k and create an equation:

4k = 11.4;

We are looking for the similarity coefficient as an unknown factor:

k = 11.4: 4;

k = 2.85.

Now we can find the width of the room:

2.85 * 3 = 8.55 meters the width of the room.

We just have to find the area of the room:

S = a * b = 8.55 * 11.4 = 97.47 m2 room area.