Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m^2 is Rs.15000, find the height of the hall. [Hint: Area of the four walls = Lateral surface area.]
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Answer 1

$\huge \sf {\orange{\underline{\purple{\underline{Question :-}}}}}$

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m^2 is Rs.15000, find the height of the hall.

$\huge \sf {\orange {\underline {\pink{\underline{Answer :-}}}}}$

$\longrightarrow$$\sf\pink{Lateral\:surface\:area\:=\:(Perimeter\:of\:floor)\:×\:height\:=\:250hm2}$

$\longrightarrow$$\sf\red{and}$

$\longrightarrow$$\sf\orange{cost\:=\:Rate\:×\:area}$

$\longrightarrow$$\sf\blue{15000\:=\:10\:×\:250h}$

$\longrightarrow$$\sf\frac\purple{2500}{15000} = h$

$\longrightarrow$$\sf\green{h\:=\:6m}$

${\huge{\underline{\small{\mathbb{\pink{HOPE\:HELPS\:UH :)}}}}}}$

$\red{\tt{sωєєтcнαям♡~}}$

Answer 2

$\huge \sf {\orange {\underline {\pink{\underline{Answer :-}}}}}$

$\longrightarrow\sf\pink{Lateral\:surface\:area\:=\:(Perimeter\:of\:floor)}$$\sf\pink{\:×\:height\:=\:250hm^2}$

$\longrightarrow\sf\red{and}$

$\longrightarrow\sf\orange{cost\:=\:Rate\:×\:area}$

$\longrightarrow\sf\blue{15000\:=\:10\:×\:250h}$

$\longrightarrow\sf\frac\purple{2500}{15000} = h$

$\longrightarrow\sf\green{h\:=\:6m}$