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 1-unit side is split into 3 equal parts horizontally, so one side is $\frac{1}{3}$ units. Vertically, the 1-unit side is split into 10 equal parts, so the other side is $\frac{1}{10}$ units.

Step2: Calculate small tile area

Area of a rectangle is length × width, so $\frac{1}{3} \times \frac{1}{10} = \frac{1}{30}$.

Step3: Calculate shaded rectangle area

The shaded rectangle has 1 column (out of 3) and 9 rows (out of 10), so it has $1 \times 9 = 9$ small tiles. Area is $9 \times \frac{1}{30} = \frac{9}{30} = \frac{3}{10}$.

Answer:

Each small tile has side lengths $\frac{1}{3}$ units and $\frac{1}{10}$ units.
The area of each small tile is $\frac{1}{30}$ square units.
The area of the shaded rectangle is $\frac{3}{10}$ square units.