Maria

Maria has decided to plant grapes in the garden behind her house. His neighbor Ben has grown grapes successfully for a long time and has given Maria advice on how to plant vines. Ben told her to plant them 3 meters apart in rows that are also 3 meters apart. Maria has measured the size of her garden and learned that it's a rectangle with sides of 25 meters and 35 meters. How many vines should Maria buy?

Result

n =  70

Solution:

a=25 m b=35 m d=3 m  a1=(ad)/d=(253)/32237.3333 b1=(bd)/d=(353)/332310.6667  a2=a1=7.3333=7 b2=b1=10.6667=10 n=a2 b2=7 10=70a=25 \ \text{m} \ \\ b=35 \ \text{m} \ \\ d=3 \ \text{m} \ \\ \ \\ a_{1}=(a-d)/d=(25-3)/3 \doteq \dfrac{ 22 }{ 3 } \doteq 7.3333 \ \\ b_{1}=(b-d)/d=(35-3)/3 \doteq \dfrac{ 32 }{ 3 } \doteq 10.6667 \ \\ \ \\ a_{2}=\lfloor a_{1} \rfloor=\lfloor 7.3333 \rfloor=7 \ \\ b_{2}=\lfloor b_{1} \rfloor=\lfloor 10.6667 \rfloor=10 \ \\ n=a_{2} \cdot \ b_{2}=7 \cdot \ 10=70



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