Circumference of the garden

The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm?

Correct answer:

b =  2 m

Step-by-step explanation:

a=90 100=9000 cm 80=245 50=252 LCM(80,50)=2452=400  k=LCM(80,50)=400 cm a1=a/k=9000/400=245=22.5 o = 2a+2b  b1=k/2=400/2=200 cm b=b1/100=200/100=2=2 m  o=2 a+2 b1=2 9000+2 200=18400 cm k2=o/k=18400/400=46



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