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The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the length of the sides of the field.

Asked by Topperlearning User 4th June 2014, 1:23 PM

Let the shorter side be x.

Diagonal = x+60

Longer side = x+30

By applying Pythagoras theorem,

(x+30)2+x2 = (x+60)2

x2+60x+900+x2= x2+3600+120x

x2-60x-2700=0

D= 3600-4(1)(-2700) = 3600+10800=14400

=120

But, x cannot be negative. So, x = 90

Thus, shorter side = 90m, longer side= 120 m

Answered by Expert 4th June 2014, 3:23 PM
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