Question

A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. the tiles are squares and come in three side lengths: 8inches, 4 in and 2 in. state if you agree with each statement about the tile to explain your reasoning a.regardless of the size she chooses she will need the same number of tiles b.regardless of the size he chooses the area of the wall that is being tile is the same c.she will need two 2 inch tile to cover the same area as one 4 inches tiled she will need four 4inch tile to cover the same area as one 8 inch tile e. if she chooses the 8 inch tile she will need a quarter as many tile as she would with 2 inch tile

Answer 1

(a)For each size, the number of tiles used will be different. Therefore, the statement (a) is wrong.

• FALSE

(b)Area of the wall = 80 x 40 =3200 square inches

Therefore, regardless of the size he chooses the area of the wall that is being tile is the same.

• TRUE

(c)

Area of one 4 inch tile = 4 x 4 = 16 square inch

Area of one 2 inch tile = 2 x 2 = 4 square inch

Number of 2 inch tile that will cover the same area = 16/4 =4

• Statement C is FALSE.

(d)Area of one 4 inch tile = 4 x 4 = 16 square inch

Area of one 8 inch tile = 8 x 8 = 64 square inch

Number of 4 inch tile that will cover the same area = 64/16 =4

• Statement D is TRUE.

(e) Area of the room = 3200 square inches

Area of one 8 inch tile = 8 x 8 = 64 square inch

3200/64 =50

Area of one 2 inch tile = 2 x 2 = 4 square inch

3200/4 =800

• Statement E is FALSE