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1 unit 1 unit use fractions to complete the sentences. each small tile …

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.
submit

Explanation:

Step1: Find small tile side lengths

The large square is 1 unit per side, divided into 6 columns and 5 rows. So each small tile's side lengths are $\frac{1}{6}$ units (horizontal) and $\frac{1}{5}$ units (vertical).

Step2: Calculate area of 1 small tile

Area = side length × side length, so $\frac{1}{6} \times \frac{1}{5} = \frac{1}{30}$.

Step3: Count shaded tiles, find total area

There are $4 \times 3 = 12$ shaded tiles. Total area = $12 \times \frac{1}{30} = \frac{12}{30} = \frac{2}{5}$.

Answer:

  1. Each small tile has side lengths $\frac{1}{6}$ units and $\frac{1}{5}$ units.
  2. The area of each small tile is $\frac{1}{30}$ square units.
  3. The area of the shaded rectangle is $\frac{2}{5}$ square units.