Question

It took 30 1-foot square tiles to cover the floor of the Henderson's entry. The length and width of their family room is three times the length and width of their entry. If 10 tiles come in a box, how many boxes will it take to tile the family room?

Answer 1

27 boxes

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
`ft^(2)`

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
`ft^(2)`

So that;

Area of Henderson's family room = 9 x 30

= 270
`ft^(2)`

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 =
`(270)/(10)`

= 27

The number of boxes required is 27.