Math Grade 3 Quiz Area of a Rectangle using Tiling and the Distributive Property – 3.MD.C.7.C
This standard delves into the understanding of the area of a rectangle by using a tangible approach called tiling. Specifically, if one of the side lengths of the rectangle can be broken into two separate lengths (b and c), then the area of the rectangle is the sum of two smaller rectangles: one with side lengths a and b and the other with side lengths a and c. This concept aids in visualizing the distributive property of multiplication over addition.
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Question 1 of 10
1. Question
If a rectangle has a length of 4 units and a width that is made up of two parts: 2 units and 3 units, what is the total area?
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Question 2 of 10
2. Question
A rectangle has one side of 5 units and another side made up of 3 units + 4 units. The area of the rectangle is:
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Question 3 of 10
3. Question
Using the distributive property, what does the expression 6 × (2 + 4) represent in terms of area?
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Question 4 of 10
4. Question
In terms of area, 3 × (5 + 7) is equal to:
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Question 5 of 10
5. Question
When a rectangle has one side of 4 units and another side made of 2 units + 6 units, the total area becomes:
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Question 6 of 10
6. Question
Using the distributive property, the expression 7 × (3 + 9) for area can be represented as:
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Question 7 of 10
7. Question
A tiled rectangle with one side of 8 units and another side split into 4 units + 6 units will have an area of:
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Question 8 of 10
8. Question
In terms of area, the expression 5 × (1 + 10) can be simplified as:
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Question 9 of 10
9. Question
Using the distributive property, what does 2 × (6 + 8) represent in terms of area?
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Question 10 of 10
10. Question
A rectangle’s length is 6 units, and its width consists of two parts: 3 units and 5 units. What is the area?
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