Question

I need help with this swimming pool math problem.

-The shallow end is 4ft high; deep end is 7ft high

-The top edge between the shallow end and the deep end is 15 ft long;bottom of the pool is 15.3 ft long

-The pool is 12 ft wide

-How many 1 sq ft tiles will you need to line the pool?

-At $1.25 per tile how much will it cost to line the pool?

-If you fill the pool to 1ft below the top edge and cubic ft of water cost $.83, how much will it cost to fill the pool?

-How much more will it cost to fill the pool to the top edge?

Answer 1

The most difficult will be calculating the number of tiles for the bottom. First calculate the distance or length of the bottom. If you draw a diagram you will see that the length of the bottom is the hypotenuse of a triangle with one leg the length of the pool (15.3 ft) and the other leg 3 ft (7 - 4) ft. Use pythagorean for that dimension. Then multiply your results by the width. The deep end is 7x12 sq ft, the shallow end is 4X12 sq feet. Now the sides will be done in two parts, the square part is 15.3 X 4 and the triangular portion is 1/2(15.3)X3 combine for a side, remember you have two sides. combine for total area. Round up to the next whole number for number of tile. The rest is arithmetic.

Answer 2

Thank you for your help!

Answer 3

You're welcome.