Answer:
[tex]s^2+11s+15[/tex]
Step-by-step explanation:
Let side length of pool=s
According to question
Length of rectangular deck , l=2s+5
Width of rectangular deck, b=3+s
We have to find the area of deck in terms of s.
We know that
Area of square=[tex](side)^2[/tex]
Area of rectangle=[tex]l\times b[/tex]
Using the formula
Area of pool=[tex]s^2[/tex]
Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]
Now,
Area of rectangular deck
=[tex](2s+5)(3+s)-s^2[/tex]
[tex]=6s+2s^2+15+5s-s^2[/tex]
=[tex]s^2+11s+15[/tex]
