Portrait in art gallery is 7 feet wide and 9 feet long, if its frame has a width of 2 inches. What is the ratio of area of the frame to the area of portrait?
Answer: 16/63
Explanation
Given:
- Portrait dimensions: 7 feet wide × 9 feet long
- Frame width: 2 inches = 2 /12=1 /6feet
Step 1: Find the area of the portrait (without frame)
Area=7×9=63 square feetStep 2: Find the total dimensions including the frame
Since the frame is on all sides:
- Total width =
- Total length =
Step 3: Find the total area including the frame
Total area=23/3×29/3=667.9=74.11 square feetStep 4: Find the area of the frame
Area of frame=Total area−Portrait area=74.11−63=11.11 square feetStep 5: Find the ratio of the frame area to the portrait area
Ratio=Area of frame.Area of portrait=11.11/63=16/63Thus, the correct answer is (c) 16/63.
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