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 horizontal side length is $\frac{1}{7}$ units, vertical side length is $\frac{1}{6}$ units.

Step2: Calculate small tile area

Area of a rectangle is length × width. Substitute the side lengths: $\frac{1}{7} \times \frac{1}{6} = \frac{1}{42}$

Step3: Count shaded tiles & find area

Shaded rectangle has 3 columns and 3 rows, so total shaded tiles: $3 \times 3 = 9$. Multiply by area of one tile: $9 \times \frac{1}{42} = \frac{9}{42} = \frac{3}{14}$

Answer:

1. Each small tile has side lengths $\boldsymbol{\frac{1}{7}}$ units and $\boldsymbol{\frac{1}{6}}$ units.
2. The area of each small tile is $\boldsymbol{\frac{1}{42}}$ square units.
3. The area of the shaded rectangle is $\boldsymbol{\frac{3}{14}}$ square units.