Question

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

COMPLETE EXPLANATION ..NO UNWANTED ANSWERS !! ​

Answer 1

`\qquad\huge\underline{\boxed{\sf AnSwEr}}`

`\small\underline\purple{\sf Given}`

`\sf\longmapsto side \: of \: a \: square \: park \: = \: 100m \:`

`\sf\longmapsto width \: of \: the \: pathway \: = 5m \:`

`</p><p>\small\underline\purple{\sf To \: find}</p><p>`

`\sf\longmapsto area \: of \: the \: pathway \:`

`\small\underline\purple{\sf Solution}`

`\sf\longmapsto side \: of \: inner \: sq \: = 100 - (5 + 5)`

`\sf\longmapsto 90m`

`\sf\longmapsto area \: of \: outer \: sq \: = 90 * 90 {m}^(2)`

`\sf\longmapsto 8100 {m}^(2)`

`\sf\longmapsto area \: of \: pathway \: \: = \: area \: of \: outer \: - \: inner \:`

`\sf\longmapsto 10000 - 8100`

`\sf\longmapsto 1900 {m}^(2)`

Hope it helps ~