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 kitchen?

The area of the kitchen is 84 square feet

Step-by-step explanation:

Let

x-----> the area of the kitchen in square feet

y ---->  the area of the playroom in square feet

z ---->  the area of the dining room in square feet

we know that

----> equation A

so

----> ---> equation B

----> ---> equation C

substitute equation B and equation C in equation A

solve for x

therefore

The area of the kitchen is 84 square feet