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 [tex]ft^{2}[/tex]
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 [tex]ft^{2}[/tex]
So that;
Area of Henderson's family room = 9 x 30
                            = 270 [tex]ft^{2}[/tex]
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 = [tex]\frac{270}{10}[/tex]
             = 27
The number of boxes required is 27.
