Question

1 unit
1 unit
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 has side length 1 unit, divided into 7 columns and 6 rows. So each small tile's side lengths are $\frac{1}{7}$ units (horizontal) and $\frac{1}{6}$ units (vertical).

Step2: Calculate small tile area

Area of a square/rectangle is length × width.
$\text{Area} = \frac{1}{7} \times \frac{1}{6} = \frac{1}{42}$

Step3: Count shaded tiles for total area

Shaded region has 5 columns and 5 rows, so total shaded tiles = $5 \times 5 = 25$. Multiply by area of one tile:
$\text{Shaded Area} = 25 \times \frac{1}{42} = \frac{25}{42}$

Answer:

Each small tile has side lengths $\frac{1}{7}$ units and $\frac{1}{6}$ units.
The area of each small tile is $\frac{1}{42}$ square units.
The area of the shaded rectangle is $\frac{25}{42}$ square units.