document.write( "Question 390533: A rectangular lawn of length (x+5)m is (x-2)m wide if the diagonal is (x+6),find 1. The value of x 2. The area of the rectangle 3. Perimeter of rectangle \n" ); document.write( "
Algebra.Com's Answer #276948 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\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( " x^2 -6x -7 = 0
\n" ); document.write( "factoring
\n" ); document.write( "(x+1)(x-7)=0
\n" ); document.write( "(x+1)=0
\n" ); document.write( " x = -1 Tossing out negative solution
\n" ); document.write( "(x-7)=0
\n" ); document.write( " x = 7m (length = 12m and width = 5m)
\n" ); document.write( "Area is: 12m*5m = 60m^2
\n" ); document.write( "Perimeter is: 2*12m + 2*5m = 34m \n" ); document.write( "
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