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