Question

what is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of 8 rupees per 100 square metres

Answer 1

ar of rec =L*B
SO AR =500*200=100000 m2
and 1sq m =12.5
so for 100000 m2 of 12.5 is 1250000

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION\: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: Given, \: }} \\ \\ \text{ \blue{Length of the rectangular plot, l = 500 m}} \\ \\ \text{ \blue{Breadth of the rectangular plot, b = 200 m}} \\ \\ \text{ \blue{Cost of tiling 100 m = Rs. 8 }}\\ \\ \underline{ \mathfrak {\: To \: \: find : \to}} \\ \\ \text{ \blue{ Cost of tiling the whole rectangular plot = ? }}$

$\underline{ \mathfrak{ \: We \: \: know \: \: that, \: }} \\ \\ \boxed{ \bold{ \: \: </p><p>Area \: \: of \: \: a \: \: rectangle = Length \times Breadth \: \: }}$

$\sf{ \green{\therefore \: Area \: \: of \: \: the \: \: rectangular \: \: plot = l \times b }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \green{= ( 500 \times 200) \: m {}^{2} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{\green{= 100000 \: m {}^{2} }}$

$\underline{ \mathfrak{ \:Now, \: }} \\ \\ \: \: \: \: \: \tt{ \red{Cost \: \: of \: \: tiling \: \: 100 \: m {}^{2} = Rs. \: 8}} \\ \\ \tt{ \red{ \therefore \: \: </p><p>Cost \: \: of \: \: tiling \: \: 1 \: m {}^{2} = Rs. \: \frac{8}{100} }} \\ \\ \tt{ \red{ \therefore \: \: Cost \: \: of \: \: tiling \: \: 100000 \: \: m {}^{2} = Rs. \: ( \frac{8}{100} \times 100000) \: }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ \red{ = Rs. \: 8000 \: }}$