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