The first floor of the house consists of a kitchen, playroom, and dinning room. The areas of the kitchen, playroom, and dinning room are in the ratio 4:3:2. The combined area of these three rooms is 189 square feet. What is the area of each room?

4 : 3 : 2

x - area unit

area of the kitchen = 4x

area of the playroom = 3x

area of the dinning room = 2x

The combined area of these three rooms is 189 ft².

Therefore we have the equation

4x + 3x + 2x = 189

9x = 189 |:9

x = 21 ft²

area of the kitchen = 4x = 4 (21) = 84 ft²

area of the playroom = 3x = 3 (21) = 63 ft²

area of the dinning room = 2x = 2 (21) = 42 ft²