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Mrs.Flores’ rectangular garden has a length of 20 meters and width of 15 meters. Her neighbor, Mr.Sosa, has a similar garden in shape with a scale factor of 3. What if Mr.Sosa cuts his garden diagonally, what would be the perimeter of his garden?

Respuesta :

180 m

Step-by-step explanation:

Information given:

  • length of Mrs. Flores' garden= 20 m
  • width of Mrs. Flores' garden = 15 m
  • Scale factor = 3

Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

  • length of Mr. Sosa's garden= 3×20= 60 m
  • width of Mr. Sosa's garden= 3×15= 45 m

 Diagonal of a rectangle = √length²+width²

Let Diagonal = D,

D= √60²+45²

=√3600+2025

=√5625

=75 m

If Mr. Sosa cut his garden diagonally,

perimeter= length+width+diagonal

=60+45+75=180 m

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