Question

hey guys good evening pls tell me the answer

a door of dimensions 3m*1.5m is fitted in a wall of dimensions 8m * 5.5 m find the cost of white washing the wall at the rate of rs 12 per meter square

Answer 1

• Given

• Dimensions of the door -
• Length of the door = 3 m
• Breadth of the door = 1.5 m
• Dimensions of the wall including door -
• Length of the wall = 8 m
• Breadth of the wall = 5.5 m

• To find

• The cost of white washing the wall at the rate of rs 12 per meter square

• Concept -

• Firstly, we will find the area of the door and then the area of wall including the door.

To find the area of the door,

• Subtract area of door from area of wall including the door.

• Now, to find the cost multiply the area of door with Rs.20

• Solution

Area of the door = Length × breadth

⟶ 3 × 1.5

⟶ 4.5 m²

• Area of the door = 4.5 m²

Area of wall including door = length × breadth

⟶ 8 × 5.5

⟶ 44 m²

• Area of wall including door = 44 m²

Area of door = Area of wall including door - Area of door

⟶ (44 - 4.5) m²

⟶ 39.5 m²

• Area of door = 39.5 m²

The cost of white washing the wall at the rate of Rs. 12 per meter square = 39.5 × 12 = Rs. 474

• Cost of white washing the wall at the rate of Rs. 12 per m² = Rs. 474

Answer 2

Answer:

$\huge \sf{ \underline{ \underline{ Given : - }}}$

• Dimensions of the door -
• Length of the door = 3 m
• Breadth of the door = 1.5 m
• Dimensions of the wall including door -
• Length of the wall = 8 m
• Breadth of the wall = 5.5 m

$\huge \sf{ \underline{ \underline{To \: find : - }}}$

• The cost of white washing the wall at the rate of rs 12 per meter square

To find the area of the door, Subtract area of door from area of wall including the door. Now, to find the cost multiply the area of door with Rs.20

$\huge \bf{ \underline{ \underline{ Solution : - }}}$

Area of the door = Length × breadth

$\bf \implies \: 3 × 1.5 \\ \bf \implies 4.5 m²$

Area of the door = 4.5 m²

Area of wall including door = length × breadth

$\bf \: = 8 × 5.5 \\ \bf = 44 m²$

Area of wall including door = 44 m²

Area of door = Area of wall including door - Area of door

$\bf \: = (44 - 4.5) m² \\ \bf = 39.5 m²$

Area of door = 39.5 m²

The cost of white washing the wall at the rate of Rs. 12 per meter square = 39.5 × 12 = Rs. 474

Cost of white washing the wall at the rate of Rs. 12 per m² = Rs. 474