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

Question

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?

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Madeline 3 hours 2022-01-07T04:56:26+00:00 1 Answer 0 views 0

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    2022-01-07T04:57:26+00:00

    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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