To find an expression that is equivalent to the sum of the areas reserved for corn and soybeans, we first need to calculate the total area:
Corn: 20 acres
Soybeans: 12 acres
The total area is:
\[ 20 + 12 = 32 \text{ acres} \]
Now, let's examine the given options to find the one that equates to 32:
A. \( 5(4+3) \)
Calculating this:
\[ 5(4+3) = 5 \times 7 = 35 \]
B. \( 4(5+3) \)
Calculating this:
\[ 4(5+3) = 4 \times 8 = 32 \]
C. \( (4+5)(4+3) \)
Calculating this:
\[ (4+5)(4+3) = 9 \times 7 = 63 \]
D. \( 4(5)(3) \)
Calculating this:
\[ 4 \times 5 \times 3 = 60 \]
From the calculations above, the only expression that equals 32 is:
B. 4(5+3)
So the correct answer is B. 4(5+3).