you may need to draw a diagram for better understanding:

 __________________        

| 1______________1 |

|1|              |1|

| |             p| |

|1|______________|1|P+2

|_1______________1_|

Total area = 400ft.

Total length for a side = p+2:

Area of a square is given by n^2:







Factor:

(p-18)(p+22)=0

p=18 or p=-22

Remove the negative, and hence, the length for the square is 18ft long, and the area of the pool is 324ft squared.

18^2=324ft

Paul. 

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
 THE TOTAL AREA OF THE POOL AND THE BORDER IS (X+2)~2=400 OR X~2+4X+4=400 OR

X~2+4X-396=0 FACTORING THIS EQUATION WE GET (X-18)(X+24) OR X=18 & X=-24 

THEREFORE THE POOL IS 18 FEET LONG AND WIDE. 



PROOF (18+2)~2=400 OR 20~2=400 OR 400=400 

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