**Answer:**

27 boxes

**Step-by-step explanation:**

Number of tiles required to cover the entry floor = 30

Since the size of each tile is 1-foot square, then;

area of Henderson's entry = area of each tile x 30

= 1 x 1 x 30

= 30

Let the length of the entry be represented by x, and its width by y.

So that;

length of the family room = 3x

width of the family room = 3y

Area of Henderson's family room = length x width

= 3x x 3y

= 9xy

But,

xy = Area of Henderson's entry = 30

So that;

Area of Henderson's family room = 9 x 30

= 270

Therefore, 270 numbers of 1-foot square tiles would be required to tile the Henderson's family room.

Given that: 10 tiles come in a box number of box to tile the family room can be determined by;

number of box =

= 27

The number of boxes required is 27.