document.write( "Question 1054929: A rectangular lawn of length (x+5) metres is (x-2) metres wide. if the diagonal is (x+6) find the value of x and the area of the lawn? \n" ); document.write( "
Algebra.Com's Answer #670134 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Length,width,and diagonal of a rectangle are a right triangle with the diagonal the hypotenuse. The sum of the squares of the sides equals the square of the diagonal. \n" ); document.write( "(x+5)^2+(x-2)^2=(x+6)^2 \n" ); document.write( "x^2+10x+25+x^2-4x+4=x^2+12x+36 \n" ); document.write( "2x^2+6x+29=x^2+12x+36 \n" ); document.write( "x^2-6x-7=0 \n" ); document.write( "(x-7)(x+1)=0 \n" ); document.write( "x=7; other route is not valid. \n" ); document.write( "The triangle is a 5,12,13 triangle, units in meters. \n" ); document.write( "The length is 12m, the width 5m, and the area 60 m^2. \n" ); document.write( " |