Question

please solve it friends​

Answer 1

Answer:

⠀⠀⠀⌬ Length of lawn ( l ) = 80 m

⠀⠀⠀⌬ Width of lawn ( b ) = 30 m

⠀⠀⠀⌬ Width of path ( w) = 2 m

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This path goes through the center of lawn, & at the middle it will overlap each other as we can see in the attachment.

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To find the area of remaining portion we have to minus area of path from whole area of path and that overlap path area too.

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$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Area=Area\:of\:Lawn-(Area\:of\:Paths-Overlap\:Area)\\\\\\:\implies\sf Area=(l\times b)-[\{(l\times w)+(b\times w)\}-(w)^2]\\\\\\:\implies\sf Area=(80\times20)-[\{(80\times2)+(30\times2)\}-(2)^2]\\\\\\:\implies\sf Area=1600-[\{160+60\}-4]\\\\\\:\implies\sf Area=1600-[220-4]\\\\\\:\implies\sf Area=1600-216\\\\\\:\implies\sf Area=1384\:m^2$

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$\therefore\:\underline{\textsf{Area of the remaining portion is \textbf{1384 m ^\text2 }.}}$