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 lengths

The large square is 1 unit per side, divided into 9 columns and 4 rows. So each small tile has width $\frac{1}{9}$ units and height $\frac{1}{4}$ units.

Step2: Calculate small tile area

Area = width × height, so $\frac{1}{9} \times \frac{1}{4} = \frac{1}{36}$ square units.

Step3: Count shaded tiles, find area

Shaded region has 5 columns × 2 rows = 10 tiles. Area = $10 \times \frac{1}{36} = \frac{10}{36} = \frac{5}{18}$ square units.

Answer:

Each small tile has side lengths $\frac{1}{9}$ units and $\frac{1}{4}$ units.
The area of each small tile is $\frac{1}{36}$ square units.
The area of the shaded rectangle is $\frac{5}{18}$ square units.