Diagonal 20

Diagonal pathway for the rectangular town plaza whose length is 20 m longer than the width. if the pathway is 20 m shorter than twice the width. How long should the pathway be?

Correct result:

x =  100 m

Solution:

a=20+b x=a2+b2 x=2⋅ b−20 (2∗b−20)2=(20+b)2+b2  (2⋅ 60−20)2=(20+60)2+602 b>0 b=b1=60=60 m a=20+b=20+60=80 m x=a2+b2=802+602=100 m

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