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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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<h3>Answer:  A) 6</h3>

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A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.

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