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 8 equal parts. So each small tile side is $\frac{1}{8}$ units.

Step2: Calculate small tile area

Area of square = side × side. So area is $\frac{1}{8} \times \frac{1}{8} = \frac{1}{64}$ square units.

Step3: Count shaded tiles

Shaded rectangle has 3 columns and 4 rows: $3 \times 4 = 12$ tiles.

Step4: Calculate shaded rectangle area

Multiply number of tiles by area per tile: $12 \times \frac{1}{64} = \frac{12}{64} = \frac{3}{16}$ square units.

Answer:

Each small tile has side lengths $\frac{1}{8}$ units and $\frac{1}{8}$ units.
The area of each small tile is $\frac{1}{64}$ square units.
The area of the shaded rectangle is $\frac{3}{16}$ square units.