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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 big square is 1 unit per side, split into 6 columns and 4 rows. So each side is $\frac{1}{6}$ units and $\frac{1}{4}$ units.

Step2: Calculate small tile area

Area = side1 × side2: $\frac{1}{6} \times \frac{1}{4} = \frac{1}{24}$ square units.

Step3: Count shaded tiles for total area

Shaded region has 2 rows × 4 tiles = 8 tiles. Area = $8 \times \frac{1}{24} = \frac{8}{24} = \frac{1}{3}$ square units.

Answer:

  1. Each small tile has side lengths $\frac{1}{6}$ units and $\frac{1}{4}$ units.
  2. The area of each small tile is $\frac{1}{24}$ square units.
  3. The area of the shaded rectangle is $\frac{1}{3}$ square units.