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In the figure, ABCD is a parallelogram with AD = a units, DC = 2a units and DE : EC = 1 : 2. CEFG is a rectangle with FE = 3AE. What is the ratio of the area of a parallelogram and the rectangle?
  • a)
    1:1
  • b)
    1:2
  • c)
    a2/5 : 1
  • d)
    2:1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In the figure, ABCD is a parallelogram with AD = a units, DC = 2a uni...
Area of parallelogramABCD
= DC x AE + AE x EC
= AE x DC
Area of rectangle EFGC = FE x EC
= 1/2
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In the figure, ABCD is a parallelogram with AD = a units, DC = 2a units and DE : EC = 1 : 2. CEFG is a rectangle with FE = 3AE. What is the ratio of the area of a parallelogram and the rectangle?a)1:1b)1:2c)a2/5 : 1d)2:1Correct answer is option 'A'. Can you explain this answer?
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