Question 1179812
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Mentally, in a few seconds:<br>
55 = 11*5; 11cm is 1cm more than twice 5cm.<br>
Algebraically....<br>
x = width
2x+1 = length
{{{x(2x+1)=55}}}
{{{2x^2+x-55=0}}}
{{{(2x+11)(x-5)=0}}}<br>
x = -11/2 or x = 5; obviously the negative solution for the width is nonsense.<br>
ANSWER: width = x = 5cm; length = 2x+1 = 11cm<br>