Question

A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he cover? Think, What area ISN'T Micky covering and subtract out that area...

Answer 1

1400ft²

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;

`Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft`

`Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2`

`Area = 900ft^2`

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

`Area = 20ft * 25ft`

`Area = 500ft^2`

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area
`= 900ft^2 +500ft^2`

Total Surface Area =
`1400ft^2`

Hence, Micky will cover 1400ft²