Question

1. the ceilings in many basements are made up of rectangular tiles. for one basement, each square meter of ceiling requires 10.75 tiles. complete the table.

area of ceiling (sq. m)	number of tiles

| 1 |
| 10 |

53.75

| x |

Explanation:

Step1: Determine number of tiles for 1 sq.m

Since 1 square - meter requires 10.75 tiles, when area = 1 sq.m, number of tiles = 10.75.

Step2: Determine number of tiles for 10 sq.m

We use the formula: number of tiles = area×10.75. When area = 10 sq.m, number of tiles = 10×10.75 = 107.5.

Step3: Determine area for 53.75 tiles

We use the formula: area=\frac{number\ of\ tiles}{10.75}. When number of tiles = 53.75, area=\frac{53.75}{10.75}=5 sq.m.

Step4: Determine number of tiles for x sq.m

Using the formula number of tiles = area×10.75, when area = x sq.m, number of tiles = 10.75x.

Answer:

Area of Ceiling (sq.m)	Number of Tiles
10	107.5
5	53.75
x	10.75x