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dimaraw [331]
4 years ago
14

Security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are​ used, since the fourth s

ide of the area is formed by a building. the enclosed area measures 1682 square feet. exactly 116 feet of fencing is used to fence in three sides of this rectangle. what are the possible dimensions that could have been used to construct this​ area?
Mathematics
1 answer:
LiRa [457]4 years ago
6 0
Hi,
Let assume a the width and b the length of the rectangular area.
\left \{ {{2a+b=116} \atop {a*b=1682}} \right. \\\\

 \left \{ {{b=116-2a} \atop {a*(116-2a)=1682}} \right. \\\\

 \left \{ {{b=116-2a} \atop {a^2-58a+841=0}} \right. \\\\

 \left \{ {{b=116-2a} \atop {(a-29)^2=0}} \right. \\\\

 \left \{ {{a=29} \atop {b=116-2*29}} \right. \\\\

 \left \{ {{a=29} \atop {b=58}} \right. \\\\









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The one-repetition maximum test, also called a one-rep max or 1RM, is used to find out the heaviest weight you can lift just once.

If Maximal strength is desired, it is best achieved by performing  repetitions at  85 to 100 % of the one-repetition maximum (1RM).

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By this find the no of reps are recommended for maximum strength.

The maximum strength is achieved by doing the number of reps by 85 to 100% of the value of 1 RM.

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For the training adaptation of maximum strength, 1 to 5 repetitions per set is recommended.

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