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 answer:

x =  100 m

Step-by-step explanation:

a=20+b x=a2+b2 x=2 b20 (2b20)2=(20+b)2+b2  (2 b20)2=(20+b)2+b2 2b2120b=0  p=2;q=120;r=0 D=q24pr=1202420=14400 D>0  b1,2=2pq±D=4120±14400 b1,2=4120±120 b1,2=30±30 b1=60 b2=0   Factored form of the equation:  2(b60)b=0 b>0 b=b1=60 m a=20+b=20+60=80 m x=a2+b2=802+602=100 m

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