Question

4. A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is

Answer 1

Answer:

b. Regardless of the size she chooses, the area of the wall that is being tiled is the same

Reason: The area of the wall must be the same as the area of the tiles irrespective of the measure of tiles.

c. She will need four 4-inch tiles to cover the same area as one 8-inch tile.

Reason: Area of one 8-inches = 4 *area of one 4-inch tiles

64 = 4*16

64 = 64

Step-by-step explanation:

Let's find the area of the rectangular wall of the bathroom.

Area of the rectangular wall = length x width

= 80 x 40

= 320 square inches.

Now let's find the area of each tiles.

All the tiles are in square shapes.

Area of the tile which is 8 inches in length = 8 x 8 = 64 square inches

Area of the tile which is 4 inches in length = 4 x 4 =  16 square inches

Area of the tile which is 2 inches in length = 2 x 2 = 4 square inches

Let's find the number of tiles needed to tile the rectangular wall.

The number 8 inches tiles needed = $\frac{320}{64} = 5$ tiles

The number 4 inches tiles needed = $\frac{320}{16} = 20$ tiles

The number 2 inches tiles needed = $\frac{320}{4} = 80$ tiles

Now let's find the correct statements.

b. Regardless of the size she chooses, the area of the wall that is being tiled is the same

Reason: The area of the wall must be the same as the area of the tiles irrespective of the measure of tiles.

c. She will need four 4-inch tiles to cover the same area as one 8-inch tile.

Reason: Area of one 8-inches = 4 *area of one 4-inch tiles

64 = 4*16

64 = 64