Question

A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______​

Answer 1

Answer:

4x + 12

Step-by-step explanation:

4*x + 4*3 = 4x + 12

• Notice what has happened. The plus sign remains.
• The 4 multiplies by both the x and the 3

That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.

When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.

Answer 2

Answer: 4x+12=4x+12 or 4x+12=4(x+3)

Step-by-step explanation:

1. (x+3)(4)=4(x+3)  *because length x width=area
2. Distribute 4 into the parenthesis
3. 4x+12=4(x+3)
4. you can go even further
5. 4x+12=4x+12

Hope this helps!