Question

a rectangular plot has a length of 18 metre and the breadth of 45 m. A 4 metre wide path extends along the inside edge of the plot. find the area of the path​

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bold{Given:-}\begin{cases}\sf{Length\:of\: plot(l)=18m}\\ \sf{Breadth\: of\: plot=45m}\\ \sf{width\:of\:path=4m}\end{cases}$

• Now first find area of plot

• which is in the form of rectangle So area of rectangle

$\boxed{\sf{Area\:of\: rectangle=length\times breadth}}$

$\bf\underline{\underline{\purple{According\:to\: Question:-}}}$

$\sf\implies Area\:of \:plot=18m\times 45m\\ \\ \sf\implies Area\:of\:plot= 810m{}^{2}$

$\boxed{\sf{\purple{Area\:of\: plot=810m{}^{2}}}}$

• Now the path is built inside the plot

• New length =18+4=22m

• New breadth=45+4= 49m

• Now new area of plot

$\begin{cases}\sf{New\:Length\:of\: plot(l)=22m}\\ \sf{New\:Breadth\: of\: plot=49m}\end{cases}$

$\sf\implies New\:area\:of\: plot =22m\times 49m\\ \\ \sf\implies New\:area\:of\: plot=1078m{}^{2}$

$\boxed{\sf{\purple{New\:area\:of\: plot=1078m{}^{2}}}}$

• Now we have to find the area of path

$\sf\implies Area\:of\:path=1078-810\\ \\ \sf\implies Area\:of\:path=268m{}^{2}$

$\boxed{\sf{\purple{Area\:of\:path=268m{}^{2}}}}$

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Answer 2

$\huge{\boxed{\red{\underline{\pink{AnSwEr}}}}}$

See the attachmentß✌☺______✔

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