Question

A rectangular feild is 240 meter long and 180 metre wide it has two cross paths from the middle 3 mt. Wide find the expenditure of constructing of road at the rate of Rs 8 per square metre.

Please give me answer it's very urgent :)

Answer 1

${\bold{\boxed{\boxed{Answer = 10,008}}}}$

Step-by-Step-Explanatation :

$\begin{lgathered}\bold{Given} \begin{cases} \underline{ \footnotesize\sf{ \star \: \: Dimensions\:of\:the\:road :}} \\ \sf{Length \: (l)=240m} \\ \sf{Width \: (b)=180m} \\ \sf{width \: of \:two \: cross \: paths \: from \: middle =3m}\\ \scriptsize\sf{Find \: Cost \: of \: expenditure\: of \: constructing\: road \: at\: Rs \: 8/sq.m }\end{cases}\end{lgathered}$

$Area \: of \: the \: longer \: side \: path = 240 \times 3 = 720 \: sq \: mtr.\\\\Area \: of \: the \: width \: side \: path = 180 \times 3 = 540 \: sq \: mtr.\\\\Area \: of \: the \: common \: portion \: of \: the \: road \: path = 3 \times 3 = 9 \: sq \: mtr.\\\\Now, \: the \: total \: area \: of \: roads = 720 + 540 - 9 = 1251 \: sq \: mtr.\\\\ Expenditure \: on \: per \: square \: mtr = Rs \: 8\\\\Total \: expenditure \: around \: the \: rectangular \: field = 1251 \times 8\\\\ \implies \: \boxed{=Rs\: 10,008}$