Question

form a rectangle.
use fractions to complete the sentences.
each small tile has side lengths 　　 units and 　　 units.
the area of each small tile is 　　 square units.
the area of the shaded rectangle is 　　 square units.

Explanation:

Step1: Find small tile side length

The large square is 1 unit, divided into 9 columns and 8 rows. So each small tile's side length is $\frac{1}{9}$ units (horizontal) and $\frac{1}{8}$ units (vertical).

Step2: Calculate small tile area

Area = side length × side length, so $\frac{1}{9} \times \frac{1}{8} = \frac{1}{72}$

Step3: Count shaded tiles & find area

Shaded rectangle has 7 columns and 4 rows: $7 \times 4 = 28$ tiles. Area = $28 \times \frac{1}{72} = \frac{28}{72} = \frac{7}{18}$

Answer:

• Each small tile has side lengths $\frac{1}{9}$ units and $\frac{1}{8}$ units.
• The area of each small tile is $\frac{1}{72}$ square units.
• The area of the shaded rectangle is $\frac{7}{18}$ square units.