Question

A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?​

Answer 1

$\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\huge\underline{\sf{\red{Problem:}}}$

• A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?

$\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}$

$\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }$

$\underline{\sf{\red{Given:}}}$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }$

$\underline{\sf{\red{Solution:}}}$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }$

$\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }$

$\huge\underline{\sf{\red{Area\:of\:path:}}}$

$\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }$

$\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}$

$\huge\underline{\sf{\red{Answer:}}}$

$\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}$

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$\sf{\red{︎✰}ShineBrighter\red{︎✰}}$

$\sf{✍︎ C.Rose\red{❀}}$

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