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Answer:
The area of the room is 432 square feet
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The scale drawing of the room is 1 inch: 3 feet
→ That means each 1 inch in the drawing represents 3 feet in real
∵ The drawing is 8 inches long by 6 inches wide
∴ The drawing length of the room = 8 inches
∴ The drawing width of the room = 6 inches
→ By using the ratio method
→ inches : feet
→ 1 : 3
→ 8 : L
→ 6 : W
→ By using the cross multiplication
∵ 1 × L = 8 × 3
∴ L = 24
∴ The actual length of the room is 24 feet
∵ 1 × W = 6 × 3
∴ W = 18
∴ The actual width of the room is 18 feet
Use the formula of the area of the rectangle to find the area of the room
∵ Area of rectangle = length × width
∴ Area of the room = 24 × 18
∴ Area of the room = 432 feet²
∴ The area of the room is 432 square feet