Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
                = (Area of the rectangle + Area of the trapezoid)× depth Â
Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2})\times h[/tex]
                  = [tex]\frac{1}{2}(11+9)\times (12-1.5)[/tex]
                  = 105 ft²
Area of the rectangle = Length × width
                  = 11 × 1.5
                  = 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
                     = 121.5 × 4
                     = 486 cubic feet
b). Liner required = surface area of the pool excluding top
               = Surface area of the walls + Area of the pool base
               = (Perimeter of the pool) × depth + area of the base
               = (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
               = 176.8 + 121.5
               = 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet                 Â
