The area model that demonstrates how the Distributive Property can be used to evaluate the product of 8•12 is
How to determine the area model?
The product expression is given as:
8 * 12
Express 12 as the sum of 6 and 6
8 * 12 = 8 * (6 + 6)
The distributive property states that:
a * (b + c) = ab + ac
So, we have:
8 * 12 = 8 * 6 + 8 * 6
Evaluate the products of 8 and 6
8 * 12 = 48 + 48
When the above property is represented on an area model, we have:
6 6
8 48 48
Hence, the area model that demonstrates how the Distributive Property can be used to evaluate the product of 8•12 is
6 6
8 48 48
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