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CBSE Class 9 Answered

Prove that of all the parallelograms of the given sides, a rectangle has the greatest area.
Asked by Topperlearning User | 17 Aug, 2017, 12:23: PM
answered-by-expert Expert Answer
ABCD is a rectangle and ABFE is a parallelogram, such that
AD = BC = AE = BF
Area of rectangle = base x altitude
                             = AB x AD
Area of parallelogram ABFC = base x altitude
                                                = AB x EG
In AGE, AE > EG    (AE is the hypotenuse of right triangle)
But AD = AE
AD > EG
Hence, ar(rectangle ABCD) > ar (parallelogram ABFE)
Answered by | 17 Aug, 2017, 02:23: PM

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