Math, asked by officalthunderzone, 3 months ago

7. A verandah of width 3m is constructed all along outside a room
which is 6.5 m long and 5 m wide. Find the cost of cementing the
floor of the verandah at the rate of 60 per sq.m.​

Answers

Answered by AnshPratihar
0

Step-by-step explanation:

verandah of width 3 m is constructed

A verandah of width 3 m is constructed all along outsi. A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. ... (ii) the cost of cementing the floor of the verandah at the rate of Rs 200 per m2.

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Answered by telex
190

Question :-

A verandah of width 3m is constructed all along outside a room which is 6.5 m long and 5 m wide. Find the cost of cementing the floor of the verandah at the rate of 60 per sq.m.

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Solution :-

 \bf \underline{ \underline{given \: information :  - }} \\ \\  \sf{ \red{ length} \: of \: the \: room = \red{ 6.5 \: m}} \\ \sf{  \red{breadth} \: of \: the \: room =  \red{5 \: m}} \\  \sf{ \red{width} \: of \: the \: verandah = \red{ 3 \: m}} \\  \sf{ \red{cost} \: of \: cementing  =  \red{60 \: per \:  {m}^{2} }}

 \bf \underline{ \underline{to \: find :  - }} \\  \\  \sf{ \red{cost \: of \: cementing \: the \: floor}}

Calculation :-

First of all, we have to find the area of the room,

 \sf \because \:  room \: is \: rectangle \\  \sf \therefore  \:  \boxed{ \sf \red{area \: of \: rectangle = length \times breadth}}

Putting the given values of length and breadth in the formula,

 \sf : \implies  \red{area} \: of \: rectangle =  \red{6.5 \times 5} = \red{ 32.5 \:  {m}^{2} }

Now since, we know the area of the room, we will simply add the width of verandah into the length and breadth of the room,

 \sf :  \implies \sf \red {new \: length }\: (with \: verandah) =  \red{6.5 + 3} = \red {9.5 \: m}

 \sf :  \implies  \red{new \: breadth}(with \: verandah) =  \red{5 + 3} =  \red{8 \: m}

  \sf:  \implies  \red{new \: area} (with \: verandah) = \red {new \: length \times new \: breadth}

 \sf \therefore \red{new \: area }(with \: verandah) =   \red{9.5 \times 8} = \red {76 \:  {m}^{2} }

Now by subtracting the area with verandah and area of room, we will get the exact area of the verandah,

  \sf  { \boxed{{  \sf\red {new  \: area - area \: of \: room = area \: of \: verandah}}}}

 \sf :  \implies  \red{area} \: of \:  \red{verandah} =  \red{76 - 32.5 }=  \red{43.5 \:  {m}^{2} }

 \sf{ \red{area} \: of \:  \red{verandah} =   \red{43.5 {m}^{2} }}

Now finding the cost of cementing the verandah,

 \sf{ \red{rate} \: for \: 1 \:  {m}^{2}  =  \red{rs.60}}

 \sf \therefore  \:  \red{rate} \: for \: 43.5 \:  {m}^{2} of \: area = \red{ 43.5 \times 60} =  \red{rs.2610}

 \boxed{ \boxed{ \sf{ \red{cost }\: for \:  \red{cementing} \: the \: verandah \: is \:  \red{rs.2610}}}}

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Final Answer :-

The cost of cementing the verandah is Rs. 2610

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Note :-

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