Questions: My IXL Learning Assessment Quiz: Fraction Multiplication and Area HW This model shows a unit square divided into smaller square tiles. T rectangle. 1 unit Use fractions to complete the sentences. The side length of each small tile is units. The area of each small tile is square units. The area of the shaded rectangle is square units.

My IXL Learning Assessment Quiz: Fraction Multiplication and Area HW This model shows a unit square divided into smaller square tiles. T rectangle. 1 unit Use fractions to complete the sentences. The side length of each small tile is units. The area of each small tile is square units. The area of the shaded rectangle is square units.
Transcript text: My IXL Learning Assessment Quiz: Fraction Multiplication and Area HW This model shows a unit square divided into smaller square tiles. T rectangle. 1 unit Use fractions to complete the sentences. The side length of each small tile is $\square$ units. The area of each small tile is $\square$ square units. The area of the shaded rectangle is $\square$ square units.
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Solution

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Solution Steps

Step 1: Find the side length of each small tile.

The large square is 1 unit by 1 unit. It is divided into 4 rows and 5 columns of smaller squares. Therefore, the side length of each small tile is 1/4 unit for the rows or 1/5 unit for the columns. The side length is 1/5 unit.

Step 2: Find the area of each small tile.

The area of each small tile is (side length) * (side length) = (1/5) * (1/4) = 1/20 square units. Also, there are 4 rows and 5 columns of small squares. So there are 20 small squares in the unit square. The area of each is 1/20 of the total area of 1 which gives us 1/20 square unit.

Step 3: Find the area of the shaded rectangle.

The shaded rectangle consists of 2 rows and 3 columns of small tiles. So it contains 2 * 3 = 6 small tiles. The area of the shaded rectangle is therefore 6 * (1/20) = 6/20 = 3/10 square units.

Final Answer

The side length of each small tile is 1/5 units. The area of each small tile is 1/20 square units. The area of the shaded rectangle is 3/10 square units.

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