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

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)
5 times open paren 4 plus 3 close paren
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1 answer

To find the expression that is equivalent to the sum of the two areas, we need to look for the appropriate representation of the areas based on the values given.

Let's assume from the context that the farmer has set aside an area of 4 for corn and 5 for soybeans, where the second area can be expressed in terms of two factors (4 and 3).

Looking at the response options provided:

  1. \((4+5)(4+3)\)
  2. \(4(5+3)\)
  3. \(4(5)(3)\)
  4. \(5(4+3)\)

Given that the areas for corn and soybeans should be added together, we interpret 4 and 5 as contributions from the two crops.

The expression that most logically represents the sum of the two areas (4 and 5) and subsequently an area related to another dimension (4 and 3) is option 4:

\(5(4+3)\)

This indicates the area reserved can be factored as part of another dimension plus the soybeans area.

So, the answer you are looking for is:

5(4+3)