Respuesta :

Answer:

Square B

Explanation:

The complete question is written in a comment above. The doctor's office where you work needs to store eight filing cabinets with patient information in one of three secure storage rooms. We know that the filing cabinets need a total of 55 square feet of space. You need to identify in which room the filing cabinets will fit. So we have three rooms:

FIRST OFFICE:

[tex]Square \ A = 8 \times 5[/tex]

In other words, for this room we have the following area:

[tex]Square \ A =40ft^2[/tex]

SECOND OFFICE:

[tex]Square \ B = 9 \times 7.5[/tex]

In other words, for this room we have the following area:

[tex]Square \ B =67.5ft^2[/tex]

THIRD OFFICE:

[tex]Square \ C = 5 \times 10[/tex]

In other words, for this room we have the following area:

[tex]Square \ C =50ft^2[/tex]

How can we know what is the room we need to choose?

Well, the room we need to choose is the one whose area is greater than the area of the filling cabinets. In other words, let's call square x the unknown room, then:

[tex]Square \ x>55ft^2[/tex]

From the, choices the only room that meets our requirements is square B because:

[tex]Square \ B>55ft^2 \\ \\ 67.5ft^2>55ft^2[/tex]