Question

this model shows a unit square divided into smaller same - size tiles. the shaded tiles form rectangle.
1 unit
1 unit
use fractions to complete the sentences.
each small tile has side lengths \boxed{} units and units.
the area of each small tile is square units.
the area of the shaded rectangle is square units.

Explanation:

Step1: Determine side lengths of small tile

The unit square is divided into 8 columns (horizontal) and 4 rows (vertical). So each small tile has side lengths $\frac{1}{8}$ units (horizontal) and $\frac{1}{4}$ units (vertical).

Step2: Calculate area of small tile

Using the formula for the area of a rectangle $A = l\times w$, where $l=\frac{1}{8}$ and $w = \frac{1}{4}$. Then $A=\frac{1}{8}\times\frac{1}{4}=\frac{1}{32}$ square units.

Step3: Calculate area of shaded rectangle

The shaded rectangle has 4 columns and 2 rows of small tiles. The number of small tiles is $4\times2 = 8$. The area of the shaded rectangle is $8\times\frac{1}{32}=\frac{8}{32}=\frac{1}{4}$ square units.

Answer:

Each small tile has side lengths $\frac{1}{8}$ units and $\frac{1}{4}$ units. The area of each small tile is $\frac{1}{32}$ square units. The area of the shaded rectangle is $\frac{1}{4}$ square units.