Question

3. CONSTRUCTION A rectangular deck is built

Answer 1

Answer:

$s^2+11s+15$

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=$(side)^2$

Area of rectangle=$l\times b$

Using the formula

Area of pool=$s^2$

Area of (rectangular deck+ pool)=$(2s+5)(3+s)$

Now,

Area of rectangular deck

=$(2s+5)(3+s)-s^2$

$=6s+2s^2+15+5s-s^2$

=$s^2+11s+15$