To find the expression that is equivalent to the sum of the areas reserved for corn and soybeans, we start by calculating the areas of each crop.
The area reserved for corn is represented by 4 rows of 5 squares, which can be calculated as: \[ 4 \times 5 \] Similarly, the area reserved for soybeans is represented by 4 rows of 3 squares: \[ 4 \times 3 \]
Now, let’s calculate the total area of corn and soybeans:
The area for corn is: \[ 4 \times 5 = 20 \text{ acres} \]
The area for soybeans is: \[ 4 \times 3 = 12 \text{ acres} \]
To find the total area, we can add these two areas together: \[ 20 + 12 = 32 \text{ acres} \]
Now let's analyze the expressions given:
- 4(5)(3): This represents \(4 \times 5 \times 3\), which is not the summation of the areas but rather a multiplication.
- 5(4 + 3): This is equivalent to \(5 \times (4 + 3) = 5 \times 7\), which is unrelated to each area's summation.
- 4(5 + 3): This is equivalent to \(4 \times (5 + 3) = 4 \times 8 = 32\). This correctly represents the summation of both areas since it calculates the total number of squares (8) times the number of rows (4).
- (4 + 5)(4 + 3): This expands to \(9 \times 7\) and is not related to the sum of the areas of corn and soybeans.
From this analysis, the correct expression that represents the total area of corn and soybeans is: \[ 4(5 + 3) \]
Thus, the answer is: \[ \boxed{4(5 + 3)} \]