document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689451>Question 689451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool is 100 feet long and 50 feet wide. It is 7 feet deep at the deep end and has a beach entry(0feet deep) at the shallow end. The bottom of the pool has a constant slope. What is the surface area of the inside of the pool? If it helps the water capacity is 17500ft^3 or 130 000 US gallons. The answer in the answer key is 6062ft^2 but I have no idea how they got there. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425962 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A swimming pool is 100 feet long and 50 feet wide. It is 7 feet deep at the deep end and has a beach entry(0feet deep) at the shallow end. The bottom of the pool has a constant slope. What is the surface area of the inside of the pool?<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "A cross-section of the water in the pool from the \"beach\"<BR>\n" );
document.write( "to the deepest point is a right triangle with height = 7 ft,<BR>\n" );
document.write( "and base = 100 ft.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "The area of that rectangle is (1/2)7*100 = 350 sq. ft.<BR>\n" );
document.write( "2 sides of the pool are each 350 sq. ft.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The wall at the deepest point has area = 7*50 = 350 sq. ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The length of the bottom of the pool is sqrt[100^2 + 7^2] = 100.25 sq. ft<BR>\n" );
document.write( "The area of the bottom of the pool is 100.25*50 = 5012 sq. ft<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Adding the 3 walls and the bottom surface you get 3(350) + 5012 = 6062.24<BR>\n" );
document.write( "sq ft.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );