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Mrs.Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs. 55 per m2.

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Answer 1

Answer:

Rs 17875

Step-by-step explanation:

 The house has rectangular base,  therefore,

Area of house = length * breadth

              = 20m * 15m

              = 300 m^2

The plot has square base,  therefore

Area of plot = side^2

                    = 25^2

                    = 625 m^2

Area of garden = area of plot - area of house

              = 625 - 300

              = 325 m^2

∴ Cost = rate * area to be developed

           = Rs 55 * 325

           = Rs  17875

Answer 2

$\large\underline{\underline{⚘{\pmb{\orange{\sf{\:Given :-}}}}}}$

• ➬ Mrs.Kaushik has a square plot with side 25m .(According to fig.)
• ➬ She wants to construct a house in the middle of the field of sides 15m and 20m.(According to attachment )
• ➬ Cost of developing garden is Rs.55 m² .

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$\large\underline{\underline{⚘{\pmb{\orange{\sf{\: To \: Find :-}}}}}}$

• ➬ Find the total cost of developing garden .

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$\large\underline{\underline{⚘{\pmb{\orange{\sf{\: Solution :-}}}}}}$

❒ First finding the area of whole field :

➵ Formula Used :

$\large\green\bigstar{\underline{\boxed{\red{\sf{Area{\small_{(Square)}} = Side²}}}}}$

➵ Area :

$\twoheadrightarrow\sf{Area = Side²}$

$\twoheadrightarrow\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 25²}$

$\large{\pink{:{\leadsto{\underline{\blue{\sf{ 625 m²}}}}}}}$

❒ Area of construction of house :

➵ Formula Used :

$\large\green\bigstar{\underline{\boxed{\red{\sf{Area{\small_{(Rectangle )}} = Length \times Breadth}}}}}$

➵ Area :

$\twoheadrightarrow\sf{Area = Length \times Breadth}$

$\twoheadrightarrow\sf{ \: \: \: \: \: \: \: \: \: \: \: 15 \times 20}$

$\large{\pink{:{\leadsto{\underline{\blue{\sf{ 300 \: m²}}}}}}}$

❒ Now Area of garden :

${\twoheadrightarrow\sf{Area{\small_{(Garden)}} = Area{\small_{(Square)} }- Area{\small_{(Rectangle)}}}}$

$\twoheadrightarrow\sf{Area{\small_{(Garden)}} = 625 - 300}$

$\large{\pink{:{\leadsto{\underline{\blue{\sf{ Area{\small_{(Garden)}} = {325 \: m}^{2} }}}}}}}$

❒ Cost of developing whole garden :

${:{\longmapsto{\sf{Cost \: of \: constructing \: 1 \: m² = Rs.55}}}}$

${:{\longmapsto{\sf{Cost \: of \: constructing \: 325 \: m² = 55 \times 325}}}}$

$\large\red{:{\longmapsto{\green{\underline{\overline{\sf{Rs.17,875}}}}}}}$

❒ Hence :

➻ Cost of developing garden is Rs.17,875 .

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