Answer:
[tex]\text{Total area of the pool and patio combined}=225\text{ ft}^2[/tex]
Step-by-step explanation:
We have been given that A girl has a square pool with an area of 81 square feet.
Let us find find the each side length of pool by taking square root of 81 as:
[tex]\text{Each side of square}=\sqrt{81\text{ ft}^2}[/tex]
[tex]\text{Each side of square}=9\text{ ft}[/tex]
We have been given that girl adds a patio which is 3 feet wide around the pool, so each side of pool after adding patio will increase by 6 feet.
So new sides of pool would be [tex]9\text{ ft}+6\text{ ft}=15\text{ ft}[/tex]
The total area of the pool and patio would be product of each side.
[tex]\text{Total area of the pool and patio combined}=15\text{ ft}\times 15\text{ ft}[/tex]
[tex]\text{Total area of the pool and patio combined}=225\text{ ft}^2[/tex]
Therefore, the total area of the pool and patio combined would be 225 square ft.
