solve the following word problem

Question

Shannon is building a deck around her square swimming pool. Let d = the width of the deck

22. Given the diagram to the right, write a polynomial that represents the total area of the deck and pool.

23. Find the combined area if the width of the deck is 12 feet.

24. If the pool is 5 feet deep, how much would it cost to fill it if water is $1.50 for 1000 gallons? Remember that 1 gallon 0.134 ft. Round your answer to the nearest cent.

Answer 1

the width of the deck d is added to each side of the square...

so the area is (S+d)^2 where S is the measure of the side of the square shaped pool

if d=12 then the area becomes (S+12)^2

the volume is then 5(S+d)^12. Since 1 gallon fills 0.134 cubic feet, then

5(S+d)^2 / 0.134 gallons are needed...

the final cost is $1.50*5(S+d)^2/ 0.134 = 57.95(s+d)^2