Answer:
D
Step-by-step explanation:
We find the area of a rectangle by multiplying the lengths of both the sides (length and width).
- One side given is [tex]x+3[/tex]
- Another side given is [tex]2-x[/tex]
Multiplying these 2 will give us the expression for the area of the rectangle (we use distributive property given by [tex]a(b+c)=ab+ac[/tex] in this problem to multiply)
Area = [tex](x+3)(2-x)\\=2x-x^2+6-3x[/tex]
Now combining like terms and rearranging, we have:
[tex]2x-x^2+6-3x\\=-x-x^2+6\\=-x^2-x+6[/tex]
Answer choice D is right.
