The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq	.cm. Find the length of the greater line segment if one is longer than the other by 2cm. Pick one.
A) 6 cm B) 7 cm C) 9 cm D) 11 cm E) None
Solution   Let the lengths of the line segments be x cm and (x + 2) cm.   Then (x+2)2 - x2 = 32   &lt;=&gt; x2+4x+4-x2 = 32   &lt;=&gt; 4x = 28   Therefore x = 7.   Length of longer line segment	= (7 + 2)= 
<gadget id="calculator">(7 + 2)</gadget>
<output>9</output>
9 cm.   Answer 9 cm
<result>C</result>
The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq	.cm. Find the length of the greater line segment if one is longer than the other by 2cm.