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andriy [413]
2 years ago
12

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 each room? (Ex. Kitchen Area=______, Playroom Area=______, Dining Room=_____) *
Mathematics
1 answer:
lozanna [386]2 years ago
5 0

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.

Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet

Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet

Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet

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