Question

The length, breadth and height of a bungalow are 8m, 6m, 7m respectively. The length, breadth of door are 5m, 4m respectively. Two windows of length 4m and breadth 1m are
there. The four walls are to be painted internally with the rate of 20 sq.m. Find the cost of painting the bungalow.​

Answer 1

Required Answer :

The total cost of painting the bungalow = Rs. 3680

Explanation :

We are given :

• Length of a bungalow = 8 m
• Breadth of a bungalow = 6 m
• Height of a bungalow = 7 m
• Length of a door = 5 m
• Breadth of a door = 4 m
• Length of a window = 4 m
• Breadth of a window = 1 m
• Rate of painting four walls internally = Rs. 20

Need to find :

• Cost of painting the bungalow

Solution :

Firstly, we will calculate the area of the four walls.

Formula to calculate the area of four walls :

• Area of four walls = 2(l + b)h

where,

• l = length
• b = breadth
• h = height

Substituting the given values :

→ Area of four walls = 2(8 + 6)7

→ Area of four walls = 2(14)7

→ Area of four walls = 196

The area of four walls = 196 m²

Now, we will calculate the area of the doors by using the formula of area of rectangle.

Formula to calculate the area of door :

• Area of door = l × b

Substituting the given values :

→ Area of door = 5 × 4

→ Area of door = 12

The area of door = 12 m²

By using the formula of area of rectangle and multiplying by the number of windows, we will calculate the area of 2 window $.$

Formula to calculate the area of windows :

• Area of windows = l × b

Substituting the given values :

→ Area of a window = 4 × 1

→ Area of a window = 4

Area of a window = 4 m²

But in the question we are given that there are 2 windows, so we will multiply the area of a window by 2.

→ Area of 2 windows = 2 × 4

→ Area of 2 windows = 8

The area of 2 windows = 8 m²

Now, we will subtract the area of door and 2 windows from the area of four walls.

→ Total area to be painted = Area of four walls - (Area of door + Area of 2 windows)

→ Total area to be painted = 196 - (4 + 8)

→ Total area to be painted = 196 - 12

→ Total area to be painted = 184

Therefore, the total area to be painted = 184 m²

Now, we can calculate the total cost of painting the bungalow :

→ Rate of painting the bungalow = Rs. 20

→ Total cost painting the bungalow = 184 × 20

→ Total cost painting the bungalow = 3680

Therefore, the total cost of painting the bungalow = Rs. 3680

Answer 2

Answer :-

• Length = 8m
• Breadth = 6m
• Height = 7m
• Length Of door = 5m
• breadth of door = 4m
• 2 windows length = 4m
• 2 windows breadth = 1m
• 4 walls to be painted internally with the rate of 20 sq.m

_____________________

• Area of 4 walls = 2 (l+b) h

• 2 (8+6) 7
• 2 (14) 7
• 196

Area = 196 m²

_______________________

• Area of door = L x B
• 5 X 4
• 20

Area = 20 m²

_______________________

• Area of 2 windows = L x B
• 8 X 1
• 8

Area = 8 m²

_______________________

• Total area painted = area of walls - (area of door + area of windows)

• 196 - (20+8)
• 196 - (28)
• 196-28
• 168

area painted = 168 m²

Rate of painting bungalow = Rs 20

• 168 x 20
• 3360

Rs 3360

hope it helps