To find the expression that is equivalent to the sum of the two areas, we need to identify the correct expression based on the information provided.
Let's say the area of corn is represented by 4 (for example, acres or any unit of area), and the area of soybeans is represented by 5 and 3.
If we assume:
- The area for corn is 4
- The area for soybeans is represented by two values (5 and 3)
The sum of the areas would be:
Corn area + Soybean area = 4 + 5 + 3
This expression simplifies to 4 + (5 + 3) = 4 + 8 = 12.
To find the correct equivalent expression from the options:
- (4 + 5)(4 + 3) => This represents the product of two sums, not a sum.
- 5(4 + 3) => This represents a product of 5 and the sum of 4 and 3, which is \(5 \times 7 = 35\).
- 4(5)(3) => This is a product, not a sum.
- 4(5 + 3) => This represents 4 times the sum of 5 and 3, which is \(4 \times 8 = 32\).
None of the options listed directly represent the sum of the areas as \(4 + 5 + 3\).
However, if we are simply looking for an expression that ultimately sums the areas, the closest one that sums the two values (5 and 3) and maintains the corn area (4) would be:
**4 + (5 + 3) or simply 4 + 8, thus leading to **
4(5 + 3) = 4 * 8, if we treat it as an expression representing a scenario where corn area is added to the sum of soybean areas.
Thus, the correct and most relevant option for the sum would be 4(5+3) if we consider that it's trying to account for the total area in a single expression, referencing it indirectly.
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