Answer:
1400ft²
Step-by-step explanation:
Given
Room Dimension: 20 ft by 25 ft by 10 ft
Where Length = 20 ft
Width = 25 ft
Height = 10 ft
Required
Surface area of painted walls and ceiling
We'll assume that the room is rectangular in shape and all 4 sides are covered.
This means that Mickey will paint 4 walls and 1 ceiling.
The dimension of the 2 of the 4 walls is as follows;
20ft by 10ft, 25ft by 10ft,
Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft
Calculating the area of the 4 walls;
[tex]Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft[/tex]
[tex]Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2[/tex]
[tex]Area = 900ft^2[/tex]
The dimension of the ceiling is as follows:
20ft by 25ft
Calculating the area of the ceiling
[tex]Area = 20ft * 25ft[/tex]
[tex]Area = 500ft^2[/tex]
So, the area Micky will cover = Area of 4 walls + Area of ceiling
Total Surface Area [tex]= 900ft^2 +500ft^2[/tex]
Total Surface Area = [tex]1400ft^2[/tex]
Hence, Micky will cover 1400ft²
