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Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=14 cm, BC=12 cm, then the possible value for the perimeter of ABEF is
  • a)
    52
  • b)
    64
  • c)
    48
  • d)
    59
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=1...
IIgm ABCD and rectangle ABEF are between the same parallels AB and CF.
AB = EF (For rectangle) and AB = CD (For parallelogram)
? CD = EF ? AB + CD = AB + EF ... (1)
Of all the line segments that can be drawn to a given line from a point not lying on it, the perpendicular line segment is the shortest.
? AF < AD
similarly we write , BE < BC ? AF + BE < AD + BC ... (2)
From equations (1) and (2), we get
AB + EF + AF + BE < AD + BC + AB + CD
Perimeter of rectangle ABEF < Perimeter of parallelogram ABCD
Now,  Perimeter of parallelogram ABCD = AB + BC + CD + DA = 14 + 12 + 14 + 12 = 52
Thus, Perimeter of rectangle ABEF < 52 cm
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Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=1...
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Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=1...
Option a is the correct answer reason pls search on Google or all in one
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Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=14 cm, BC=12 cm, then the possible value for the perimeter of ABEF isa)52b)64c)48d)59Correct answer is option 'A'. Can you explain this answer?
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