A farmer plants corn and soybeans. This model shows the area reserved for each.

Question

Which expression is equivalent to the sum of the two areas?

(1 point)
Responses

(4+5)(4+3)
open paren 4 plus 5 close paren times open paren 4 plus 3 close paren

4(5+3)
4 times open paren 5 plus 3 close paren

4(5)(3)
4 5 3

5(4+3)

Answer 1

To find the expression equivalent to the sum of the two areas, we need to identify the area for corn and the area for soybeans based on the provided information.

Assuming the area for corn is \(4 \times 5\) and the area for soybeans is \(4 \times 3\):

1. The area for corn is \(4 \times 5 = 20\).
2. The area for soybeans is \(4 \times 3 = 12\).

Now, we want to find the sum of these two areas:

\[ 20 + 12 = 32 \]

Alternatively, we can express this sum using the distributive property:

\[ A + B = 4 \times 5 + 4 \times 3 = 4(5 + 3) \]

Thus, the expression equivalent to the sum of the two areas is:

4(5 + 3)

So the correct response is:

4(5 + 3).