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

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

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

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

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

$

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

$

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

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

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

$\sf\longmapsto 90m$

$\sf\longmapsto area \: of \: outer \: sq \: = 90 \times 90 {m}^{2}$

$\sf\longmapsto 8100 {m}^{2}$

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

$\sf\longmapsto 10000 - 8100$

$\sf\longmapsto 1900 {m}^{2}$

Hope it helps ~