Respuesta :

Answer: 8.3 feet

We know the area of 1 tile is:

[tex]1tile=1ft^{2}[/tex]    (1)

We also know Jack used 103.75 tiles to cover the whole bathroom floor, which is a rectangle.

Remembering (1), we have that:

[tex]103.75tiles=103.75ft^{2}[/tex]    (2)

Which is also the area of the rectangle from which we only have the value of one of its sides, the width [tex]w[/tex]:

[tex]w=12.5ft[/tex]    (3)

In addition, the area [tex]A[/tex] of a rectangle is given by the following equation:

[tex]A=w.l[/tex]    (4)

Where [tex]l[/tex] is the length.

Substituting the value of the width written in (3) and the area (2) in equation (4):

[tex]103.75ft^{2}=(12.5ft)l[/tex]    (5)

We finally have the value of the length of the bathroom floor:

[tex]l=8.3ft[/tex]