The cost of painting a rectangular wall at the rate of Rs.75/square metre is Rs.6825. The length of rectangular wall is equal to the length of a square wall whose area is 196 square metre. Find the breadth of the rectangular wall.

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  1. 6.5 m
  2. 7.5 m
  3. 5.5 m
  4. 2.5 m
  5. 6 m

Answer (Detailed Solution Below)

Option 1 : 6.5 m
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Detailed Solution

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Given:

Painting rate = Rs.75/m²

Total painting cost = Rs.6825

Area of square wall = 196 m²

Length of rectangular wall = side of square wall

Formula used:

Area = Total Cost / Rate

Area of rectangle = Length × Breadth

Side of square = √Area

Calculations:

Area of rectangular wall = 6825 / 75 = 91 m²

Side of square wall = √196 = 14 m ⇒ Length of rectangular wall = 14 m

Now, 14 × Breadth = 91

⇒ Breadth = 91 / 14 = 6.5 m

∴ The breadth of the rectangular wall is 6.5 metres.

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