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The Dimensions of a Room Are 14 M X 10 M X 6.5 M There Are Two Doors and 4 Windows in the Room. Each Door Measures 2.5 M X 1.2 M and Each Window Measures 1.5 M X 1 M. Find the Cost of Painting the Fou - Mathematics

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Question

The dimensions of a room are 14 m x 10 m x 6.5 m There are two doors and 4 windows in the room. Each door measures 2.5 m x 1.2 m and each window measures 1.5 m x 1 m. Find the cost of painting the four walls of the room at ₹  `35perm^2` . 

 

Solution

The room has four walls to be painted 

Area of these walls=`2(lxxh)+2(bxxh)` 

=`(2xx14xx6.5)+(2xx10xx6.5)` 

=`312m^2` 

Now, Area of the two doors=`(2xx2.5xx1.2)=6m^2` 

Area of the four windows=`(4xx1.5xx1)=6m^2` 

The walls have to be painted; the doors and windows are not to be painted. 

∴ Total area to be painted =`312-(6+6)=300m^2` 

Cost for painting=`1m^2=Rs35` 

Cost for painting `300m^2=300xx35=Rs10,500`

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Chapter 17: Perimeter and Areas of Plane Figures - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 17 Perimeter and Areas of Plane Figures
Exercises 2 | Q 17

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