6. Red carpet tiles need to go on the dance floor for the valentine's dance. The floor has a length of 9m and a width
of 8m. What is the area of the dance floor?
7. Use information from Q6 above
Each tile is 25cm by 25cm.
How many tiles do you need for the dance floor?

6. 72 m²

7. 1152 tiles

Step-by-step explanation:

6. Determination of the area of the dance floor.

Length (L) = 9 m

Width (W) = 8 m

Area (A) =?

Area of the floor (rectangle) = L × W

A = 9 × 8

A = 72 m²

Therefore, the area of the dance floor is 72 m²

7. Determination of the number of tiles needed for the dance floor.

We'll begin by converting the dimension of the tile to metre (m). This can be obtained as follow:

100 cm = 1 m

Therefore,

25 cm = 25 cm × 1 m / 100 cm

25 cm = 0.25 m

Thus, the dimension of the tile is 0.25 m by 0.25 m

Next, we shall determine the area of the tile. This can be obtained as follow:

Dimension of tile = 0.25 m by 0.25 m

Area of tile = 0.25 × 0.25

Area of tile = 0.0625 m²

Finally, we shall determine the number of tile needed. This can be obtained as follow:

Area of the floor (Aₔ) = 72 m²

Area of tile (Aₜ) = 0.0625 m²

Number of tile (n) =?

n = Aₔ / Aₜ

n = 72 / 0.0625

n = 1152 tiles

Therefore, the number of tiles needed for the dance floor is 1152 tiles