find the cost of painting a wall having a door of dimensions 4m¡Á3m.the length and breadth of the wall are 10m and 10m respectively and the of painting is 50 per m square
To find the cost of painting the wall, first, calculate the area of the wall excluding the door.
Area of the wall = length × breadth - area of the door
= 10m × 10m - (4m × 3m)
= 100m² - 12m²
= 88m²
Next, multiply the area of the wall (88m²) by the cost of painting per square meter ($50) to find the total cost.
Total cost = area of the wall × cost per square meter
= 88m² × $50/m²
= $4400
Therefore, the cost of painting the wall, excluding the door, is $4400.
To find the cost of painting a wall with a door, we need to determine the total area that needs to be painted.
Step 1: Calculate the area of the wall without the door.
The length of the wall is 10m and the breadth is 10m, so the area of the wall without the door is:
Area = length x breadth = 10m x 10m = 100m²
Step 2: Calculate the area of the door.
The dimensions of the door are 4m x 3m, so the area of the door is:
Area = length x breadth = 4m x 3m = 12m²
Step 3: Subtract the area of the door from the total area of the wall.
Total area to be painted = Area of the wall - Area of the door = 100m² - 12m² = 88m²
Step 4: Calculate the cost of painting.
The cost of painting per square meter is given as $50.
Cost of painting = Total area to be painted x Cost per square meter
Cost of painting = 88m² x $50/m²
By multiplying the total area to be painted with the cost per square meter, we can find the cost of painting the wall with the door. In this case, the cost would be $4400.