Answer:
Width of the house is [tex]X + 10[/tex]
Step-by-step explanation:
Given
The area of the house
[tex]X^2 + 30 X + 200[/tex]
On solving the above equation we get
[tex]X^2 + 20 X + 10 X + 200\\X (X +20) + 10 (X + 20)\\(X +10)(X +20)[/tex]
Width of the house is [tex]X + 10[/tex]