a a gate having dimensions 2 × 1m is in the Wall of 3 m × 5 m if the ghost of colouring Rs. 100 per m² find the total cost of colouring the wall
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Correct Question :
- A gate having dimensions 2m × 1m is in the Wall of 3 m × 5 m . If the cost of colouring the wall is Rs. 100 per m² then find the total cost of colouring the one side of the wall.
Given :
- Length of the Gate = 2m
- Breadth of the Gate = 1m
- Length of the Wall = 3m
- Breadth of the Wall = 5m
- Rate of Colouring = Rs 100 per m²
To Find :
- Total Cost of colouring the wall.
Solution :
In this question, firstly we will find the area of the gate after that we will find the area of the wall next we will substract the area of gate from area of the wall to get area to be painted. After getting the area to be painted we will multiply the area with rate of colouring to get the total cost of colouring.
Area of the Gate :
- Area of the Gate = Length × Breadth
- Area of the Gate = (2 × 1) m
- Area of the Gate = 2m
Area of the Wall :
- Area of the Wall = Length × Breadth
- Area of the Wall = (3 × 5) m
- Area of the Wall = 15m
Area to be Coloured :
- Area to be Coloured = Area of Wall - Area of Gate
- Area to be Coloured = (15 - 2) m
- Area to be Coloured = 13m
Total Cost of Colouring :
- Total Cost of Colouring = Rate of Colouring × Area to be Coloured
- Total Cost of Colouring = 100 × 13
- Total Cost of Colouring = Rs 1300
Therefore :
- Total Cost of Colouring the wall is Rs 1300
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