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A path 5m wide runs around the inside of a square park of side 100m , find the area of the path ,

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Sagot :

Avcad0rable

[tex]\qquad\huge\underline{\boxed{\sf AnSwEr}}[/tex]

[tex]\small\underline\purple{\sf Given}[/tex]

[tex]\sf\longmapsto side \: of \: a \: square \: park \: = \: 100m \: [/tex]

[tex]\sf\longmapsto width \: of \: the \: pathway \: = 5m \: [/tex]

[tex]

\small\underline\purple{\sf To \: find}

[/tex]

[tex]\sf\longmapsto area \: of \: the \: pathway \: [/tex]

[tex]\small\underline\purple{\sf Solution}[/tex]

[tex]\sf\longmapsto side \: of \: inner \: sq \: = 100 - (5 + 5)[/tex]

[tex]\sf\longmapsto 90m[/tex]

[tex]\sf\longmapsto area \: of \: outer \: sq \: = 90 \times 90 {m}^{2} [/tex]

[tex]\sf\longmapsto 8100 {m}^{2} [/tex]

[tex]\sf\longmapsto area \: of \: pathway \: \: = \: area \: of \: outer \: - \: inner \: [/tex]

[tex]\sf\longmapsto 10000 - 8100[/tex]

[tex]\sf\longmapsto 1900 {m}^{2} [/tex]

Hope it helps ~

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