Question

A girl has a square pool with an area of 81 square feet and she adds a patio which is 3 feet wide around the pool what is the total area of the pool and patio combined

Answer 1

Answer:

$\text{Total area of the pool and patio combined}=225\text{ ft}^2$

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:

$\text{Each side of square}=\sqrt{81\text{ ft}^2}$

$\text{Each side of square}=9\text{ ft}$

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 $9\text{ ft}+6\text{ ft}=15\text{ ft}$

The total area of the pool and patio would be product of each side.

$\text{Total area of the pool and patio combined}=15\text{ ft}\times 15\text{ ft}$

$\text{Total area of the pool and patio combined}=225\text{ ft}^2$

Therefore, the total area of the pool and patio combined would be 225 square ft.