Question

A bathroom is 2.6 m long and 2 m wide . It has four walls that are 1.5 m tall . The walls and the floor are to be covered with tile. Subtract 1.8 meter square for the door and window . How many square meters of tile need to be laid ?

Answer 1

22.4 square meters

Explanation:

Given: A bathroom is 2.6 m long, 2m wide, and has four walls that are 1.5 m tall.

The bathroom is in the shape of a rectangular prism with the following dimensions:

• Length = 2.6m

,

• Width = 2m

,

• Height = 1.5m

First, we find the surface area of the bathroom.

`\begin{gathered} \text{Surface Area of a rectangular prism=}2(LW+WH+LH) \\ \implies\text{Area of the bathroom}=2(2.6*2+2*1.5+2.6*1.5) \\ =2(5.2+3+3.9) \\ =2*12.1 \\ =24.2m^2 \end{gathered}`

Recall that we are to subtract 1.8 meter square for the door and window.

`\text{Area of tiles}=24.2-1.8=22.4\; m^2`

22.4 square meters of tile need to be laid.