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 equal parts horizontally and 6 equal parts vertically. So each small tile's side length is $\frac{1}{7}$ units (horizontal) and $\frac{1}{6}$ units (vertical).

Step2: Calculate small tile area

Area of a rectangle is side1 × side2. So area = $\frac{1}{7} \times \frac{1}{6} = \frac{1}{42}$ square units.

Step3: Count shaded tiles & calculate area

There are $3 \times 3 = 9$ shaded small tiles. Area = $9 \times \frac{1}{42} = \frac{9}{42} = \frac{3}{14}$ square units.

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 $\frac{3}{14}$ square units.