Question

the Cruz family is buying a custom-made cover for their swimming pool shown below the cover cost $2 and ninety-five per square foot how much will the cover cost ?.round to the nearest cent .

Answer 1

`\begin{gathered} \text{Since the two half circles are identical, the area of the pool can be expressed as:} \\ area\text{ of rectangle+ 2(area of the half circle)} \\ \text{ The area of the rectangle is } \\ 15ft\cdot25ft=375ft^2 \\ \text{And the area of half circle is } \\ (\pi((15)/(2))^2)/(2)=88.3572ft^2 \end{gathered}`
`\begin{gathered} \text{ Thus the total area of the pool is } \\ 375ft^2+2(88.3572ft^2)=551.7145ft^2 \\ \text{ and since the cost per square foot is \$2.95, the total cost is } \\ 2.95\cdot(551.7145)=1627.55\text{ dollars} \end{gathered}`

The total cost is $1627.55 , or $1627 and fifty-five