Latest self Aptitude Question SOLUTION: The diagonal of a rectangular field is 60 m. more than the shorter side.If the longer side is 30 m. more than the shorter side.What are the sides of the field ?

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(#M40010142) SELF question Keep an EYE

The diagonal of a rectangular field is 60 m. more than the shorter side.If the longer side is 30 m. more than the shorter side.What are the sides of the field ?

Devendra Marghade (12 years ago)

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Garima  (12 years ago)

120 m and 90 m are sides of rectangle.

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Vignesh  (12 years ago)

Longer side = 120m
Shorter side = 90m

Let shorter side = x
Then diagonal = x+60
And longer side = x 30

By Pythagoras Theorem,
(diagonal)^2 = (small side)^2 + (large side)^2
(x + 60)^2= (x + 30)^2+ x^2.

x^2 + 120x + 3600 = x^2 + 60x + 900 + x^2
−x^2 + 60x + 2700 = 0
x^2 – 60x – 2700 = 0
(x – 90)(x + 30) = 0
Therefore,
x =–90 Or x = -30

Length cannot be negative.
Hence shorter side = 90 m and longer side = 90 + 30 = 120 m

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