Suzette and Michael plan to refinish all five surfaces (four sides and the bottom) of their swimming pool as shown. The surfacing materials cost $20 per square yard. When the total area needing resurfacing is rounded up to the nearest square yard, how many dollars will the surfacing materials for this project cost?
\(\text{The front surface is }15\times 4 = 60 ~ft^2\\ \text{The back surface is }15\times 10 = 150 ~ft^2\\ \text{The two sides are a }10\times 25~ft^2 \text{ rectangle minus a }\\ 6 \times 25 ~ft \text{ right triangle}\\ \text{Each side is thus }250 - 75 = 175~ft^2\\ \text{summing these we get }60+150+2\times 175 = 560~ft^2\)
.\(\text{The front surface is }15\times 4 = 60 ~ft^2\\ \text{The back surface is }15\times 10 = 150 ~ft^2\\ \text{The two sides are a }10\times 25~ft^2 \text{ rectangle minus a }\\ 6 \times 25 ~ft \text{ right triangle}\\ \text{Each side is thus }250 - 75 = 175~ft^2\\ \text{summing these we get }60+150+2\times 175 = 560~ft^2\)