Question

find the cost of tilling a rectangular plot of land 400m long and 200m wide at the rate of 12per hundred. square meter
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Answer 1

GivEn:

• Length of Rectanglular plot, l = 400 m
• Breadth of Rectanglular plot, b = 200 m
• Cost of tiling 100 m = Rs. 12

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To find:

• Cost of tiling the whole Rectanglular plot?

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SoluTion:

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$\boxed{\bf{\mid{\overline{\underline{\bigstar\: According\: to \: the \: Question :}}}}\mid}$

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$\bf We\;have \begin{cases} & \text{Length, l = 400 m} \\ & \text{Breadth, b = 200 m } \end{cases}$

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⋆ DIAGRAM:

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$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.5,2){\sf{\large{200m}}}\put(7.7,1){\large\sf{B}}\put(9.3,0.7){\sf{\large{400m}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

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As we know that,

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$\;\;\;\;\star\;{\boxed{\bf{\purple{Area_{\;(Rectangle)} = l \times b}}}}$

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$\small\sf\;\;\;\underline{Putting\;values}$

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$:\implies\sf Area_{\;(Rectangle)} = 400 \times 200$

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$:\implies{\underline{\boxed{\bf{\pink{Area_{\;(Rectangle)} = 80000\;m^2}}}}}\;\bigstar$

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Therefore,

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Cost of tiling 100 m² = Rs. 12

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Cost of tiling 1 m² = Rs. $\sf \dfrac{12}{100}$

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Cost of tiling 80000 m² = Rs. $\sf \dfrac{12}{ \cancel{100}} \times 800 \cancel{00}$

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$\therefore$ Cost of tiling the whole Rectanglular plot is Rs. 9600.

Answer 2

Solution :

We have,

$\bullet\:\:\textsf{Length of reactangular plot = l = \textbf{400 meter}}$

$\bullet\:\:\textsf{Breadth of reactangular plot = b = \textbf{200 meter}}$

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☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$\bigstar\:\: \sf Area \: of \: reactangular \: plot = Length \times Breadth \\ \\ </p><p>$

$: \implies\sf Area \: of \: reactangular \: plot = 400 \times 200$

$: \implies\sf Area \: of \: reactangular \: plot = 80,000 \: sq.m$

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$\dashrightarrow\:\:\sf Cost \: of \: tilling \: 100 \: sq.m =Rs. \: 12$

$\dashrightarrow\:\:\sf Cost \: of \: tilling \: 1\: sq.m =Rs \: \dfrac{12}{100}$

$\dashrightarrow\:\:\sf Cost \: of \: tilling \:80,000 \: sq.m =Rs \: \: \dfrac{12}{ \cancel{100}} \: \times \: 80,0 \cancel{00}$

$\dashrightarrow\:\:\sf Cost \: of \: tilling \:80,000 \: sq.m =Rs \: 12 \times 800$

$\dashrightarrow\:\:\sf Cost \: of \: tilling \:80,000 \: sq.m =Rs. \: 9,600$

$\therefore\:\underline{\textsf{It will cost \textbf{Rs. 9,600}}}.$