The flux hotel recently installed a triangular pool as shown below. If the hotel manager needs to order a cover for the pool and the cost is $35 per square foot, how much can he expect to spend?

Answer:
[tex]Total = \$6545[/tex]
Step-by-step explanation:
Given
[tex]Base = 17ft[/tex]
[tex]Height = 22ft[/tex]
[tex]Slant\ Height = 32ft[/tex]
[tex]Cost = \$35[/tex] per square ft
Required
Determine the expected spending
First, calculate the area of the pool.
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} * 17ft * 22ft[/tex]
[tex]Area = 17ft * 11ft[/tex]
[tex]Area = 187ft^s[/tex]
The total cost is:
[tex]Total = Cost * Area[/tex]
[tex]Total = 35 * 187[/tex]
[tex]Total = \$6545[/tex]