Question

door of length 2 m and breadth 1.5 m is on wall. length of Wall is 4.5 m and breadth is 3.6 m. find cost of white-washing wall at rate of rupees 20 per m²​

Answer 1

$\star \; {\underline{\boxed{\pmb{\green{\sf{ \; Given \; :- }}}}}}$

• Dimensions of door = 2 m × 1.5 m
• Dimensions of wall = 4.5 m × 3.6 m
• Rate of white washing = Rs.20 per m²

$\star \; {\underline{\boxed{\pmb{\pink{\sf{ \; To \; Find \; :- }}}}}}$

• Cost of white washing = ?

$\star \; {\underline{\boxed{\pmb{\purple{\sf{ \; SolutioN \; :- }}}}}}$

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Area = Length \times Breadth }}}}}$

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$\maltese$ Calculating the Area to be White washed :

${\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = Area{\small_{(Wall)}} - Area{\small_{(Door)}} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = \bigg( Length \times Breadth \bigg) - \bigg( Length \times Breadth \bigg) }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = \bigg( 4.5 \times 3.6 \bigg) - \bigg( 2 \times 1.5 \bigg) }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = \bigg( \dfrac{45}{10} \times \dfrac{36}{10} \bigg) - \bigg( 2 \times \dfrac{15}{10} \bigg) }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = \dfrac{1620}{100} - \dfrac{30}{10} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = \cancel\dfrac{1620}{100} - \cancel\dfrac{30}{10} }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ Area{\small_{(White - washed)}} = 16.20 - 3 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\red{\pmb{\frak{ Area{\small_{(White - washed)}} = 13.20 \; {m}^{2} }}}}}}}}$

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$\maltese$ Calculating the Cost :

${\dashrightarrow{\qquad{\sf{ Cost = Area \times Rate }}}} \\ \\ \\ \ {\dashrightarrow{\qquad{\sf{ Cost = 13.20 \times 20 }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\blue{\pmb{\frak{ Cost{\small_{(White - washed)}} = ₹ \; 264 }}}}}}}}$

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$\maltese$ Therefore :

❛❛ Cost of white - washing the wall is ₹ 264 . ❜❜

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