5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?


5x + 3

(5 + x) + 3

5x + 15

(x + 3) ⋅ 5

Verified Answer :

  • than we know that 5(x+3) represent the area so 5(x+3) = 5x +15

    so from this result that the 3rd choice is right 

Answer:

Option 3rd is correct

\(5x+ 15\)

Step-by-step explanation:

Using distributive property:

\(a\cdot (b+c) = a\cdot b+ a\cdot c\)

Given the expression:

\(5(x+3)\) represents the area of the rectangle.

Apply the distributive property we have;

\(5 \cdot x+ 5\cdot 3\)

⇒\(5x+ 15\)

Therefore, an expression which is equivalent by the Distributive Property is, \(5x+ 15\)