document.write( "Question 68838: The lawn in front of Kermit Middle School is in the shape of a rectangle 30 yd long and 16 yd wide. How much shorter is your walk if you walk diagonally across the lawn rather than along two sides of it? \n" ); document.write( "
Algebra.Com's Answer #48990 by Zoop(21)![]() ![]() ![]() You can put this solution on YOUR website! Okay. This is a problem that is based upon the Pythagorean theorem.\r \n" ); document.write( "\n" ); document.write( "If you cut the square of 30x16 in half diagonally, you have a triangle with the dimensions of 30+16+(the square root of)(30^2+16^2). Simplify, and you get: \n" ); document.write( "30+16+(the square root of)(1156).\r \n" ); document.write( "\n" ); document.write( "What is the square root of 1156? We'd need a calculator for that, but the answer is 34 ( \n" ); document.write( "\n" ); document.write( "That means the total perimeter of the triangle is 46+34, or 80. \n" ); document.write( "The perimeter of the rectangle is (30+16)*2, or 92. \r \n" ); document.write( "\n" ); document.write( "92-80=12, so you'd have to walk 12 yards less. \n" ); document.write( " |