Answer:
Question 1. You can find the area of the rectangle, by multiplying the length and width of the rectangle, where (x + 2) is the length and (x + 1) is the width.
[tex]\mathrm{Question\:\:2.\quad{(x + 1)(x + 2) = { x }^{ 2 } +x+2x+2}}[/tex]
[tex]\mathrm{Question\:\:3.\quad{{ x }^{ 2 } +3x+2}}[/tex]
Step-by-step explanation:
Steps for finding the area of the rectangle
[tex]\mathrm{(x + 1)(x + 2)}[/tex]
Apply the distributive property by multiplying each term of x+2 by each term of x + 1
[tex]{ x }^{ 2 } +x+2x+2}[/tex]
Combine x and 2x to get 3x
[tex]{ x }^{ 2 } +3x+2[/tex]