Question

You are tiling the floor of a 6-foot by 8-foot bathroom. The sink occupies a 3-foot by 2-foot area and the bathtub occupies a 5-foot by 3-foot area. You do not need to tile the area occupied by the sink or bathtub. How much of the floor, in square feet, do you need to tile?

Answer 1

The floor, in square feet, you need to tile is
`27ft^(2)`

Explanation:

This problem bothers on the mensuration of solid shapes.

To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile

Step one

Area of sink

`area= length * width\\ area= 3* 2 = 6 ft^(2)`

Area of bathtub

`area= length * width \\area= 5*3\\area= 15ft^(2) \\`

Area of bathroom

`area= length* width\\ area = 8* 6\\area=48ft^(2)`

Step two

To calculate the area we need to tile

let us subtract the areas of the bathtub and the sink from the bathroom we have

`= 48-15-6\\=27ft^(2)`