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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?
  1. 11/63
  2. 13/63
  3. 16/63
  4. None of these
Explanation
Given:
  • Portrait dimensions: 7 feet wide × 9 feet long
  • Frame width: 2 inches =  /6feet
Step 1: Find the area of the portrait (without frame)
Step 2: Find the total dimensions including the frame

Since the frame is on all sides:

  • Total width = 7+2(16)×2=7+23=213+23=2337 + 2left(frac{1}{6}right) times 2 = 7 + frac{2}{3} = frac{21}{3} + frac{2}{3} = frac{23}{3}
  • Total length = 9+2(16)×2=9+23=273+23=293
Step 3: Find the total area including the frame
Step 4: Find the area of the frame
Step 5: Find the ratio of the frame area to the portrait area
Area of portrait​=11.11/63​=16/63​

Thus, the correct answer is (c) 16/63.

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