document.write( "Question 165223: Find the perimeter and the area of the shaded region use 3.14 for pie.
\n" ); document.write( "A retangle shaded with a half circle on one end. The width is 25 ft. the height is 20 ft. I have the answers but I need to know how to work the problem. \r
\n" ); document.write( "\n" ); document.write( "Answer: Perimeter = 101.4 ft
\n" ); document.write( " Area = 343 ft2\r
\n" ); document.write( "\n" ); document.write( "Can someone please help by showing me how to work the problem?
\n" ); document.write( "

Algebra.Com's Answer #121835 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
area of rectangle:
\n" ); document.write( "width*height
\n" ); document.write( "25*20 = 500 square feet
\n" ); document.write( ".
\n" ); document.write( "area of half circle:
\n" ); document.write( "area for a full circle = (pi)r^2
\n" ); document.write( "half circle would be half of the above:
\n" ); document.write( "(1/2)(pi)r^2
\n" ); document.write( "plugging in our values:
\n" ); document.write( "(1/2)(3.14)10^2
\n" ); document.write( "(1/2)(3.14)100
\n" ); document.write( "(3.14)50
\n" ); document.write( "157 square feet
\n" ); document.write( ".
\n" ); document.write( "Area of shaded region is:
\n" ); document.write( "\"area of rectangle\" - \"area of half circle\"
\n" ); document.write( "500 - 157 = 343 square feet
\n" ); document.write( ".
\n" ); document.write( "Perimeter:
\n" ); document.write( "Edge along the rectangle:
\n" ); document.write( "height + 2(width)
\n" ); document.write( "20 + 2(25)
\n" ); document.write( "20 + 50
\n" ); document.write( "70 feet
\n" ); document.write( ".
\n" ); document.write( "Edge along the half-circle:
\n" ); document.write( "\"circumference of a full circle\" is
\n" ); document.write( "(pi)(d)
\n" ); document.write( "we only want half of that so:
\n" ); document.write( "(1/2)(pi)(d)
\n" ); document.write( "(1/2)(3.14)(20)
\n" ); document.write( "(3.14)(10)
\n" ); document.write( "31.4 feet
\n" ); document.write( ".
\n" ); document.write( "Perimeter then is:
\n" ); document.write( "70 + 31.4 = 101.4 feet
\n" ); document.write( "
\n" );