document.write( "Question 922270: please help me solve this problem. find the perimeter and area of a rectangle with a length of 6ft and a diagonal of 10 ft. \n" ); document.write( "
Algebra.Com's Answer #559459 by IBMath(7)![]() ![]() ![]() You can put this solution on YOUR website! Since the length of a rectangle is 6 feet, we just need to find the width. \n" ); document.write( "Since, A = lw, Perimeter = 2(l+w)\r \n" ); document.write( "\n" ); document.write( "The diagonal of a rectangle splits it in half, making it into 2 right triangles. And if the hypotenuse(diagonal) is 10 ft. Just plug in the pythagorean theorem where a^2 + b^2 = c^2 \n" ); document.write( "So: 6^2 + b^2 = 10^2 \n" ); document.write( "Where is b = the width of the Rectangle and Triangle\r \n" ); document.write( "\n" ); document.write( "36 + b^2 = 100 \n" ); document.write( "b^2 = 64 \n" ); document.write( "b = 8\r \n" ); document.write( "\n" ); document.write( "So the area would be 8 * 6 = 48 feet \n" ); document.write( "And the perimeter would be 2(8+6) = 28 feet\r \n" ); document.write( "\n" ); document.write( "Good Luck! \n" ); document.write( " |