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murzikaleks [220]
2 years ago
8

PLEASE HELP

Mathematics
1 answer:
Leviafan [203]2 years ago
4 0

Answer:

An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Step-by-step explanation:

Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet

Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way

Hence total length of string will be

Total length = Perimeter of rectangle  +  length of diagonal

Perimeter of rectangle  = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet

Length of diagonal given by Pythagoras theorem

\mathrm{Length =   {  \left(  { a  }^{ 2  }  + { b  }^{ 2  }    \right)    }^{ 0.5  }     =    {  \left(  { 12  }^{ 2  }  + { 7  }^{ 2  }    \right)    }^{ 0.5  }     = 13.89244\:\:feet}

Hence

Total length = Perimeter of rectangle  + length of diagonal

Total length = 38 feet + 13.89244 feet = 51.9 feet

Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

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