Question 1179810
.
<pre>
x = the width

2x-1 = the length.


The area equation


    x*(2x-1) = 91.     (1)


Multiply it by 2


    2x*(2x-1) = 182.


     +-----------------------------------------------------------+
     |   Now ask yourself: which two consecutive integer numbers | 
     |            give 182 when multiplied ?                     |
     +-----------------------------------------------------------+



Think 3-4-5 seconds and guess the answer MENTALLY :  the numbers are 13 and 14.


<U>CHECK</U>:  13*14 = 182.      ! Correct !


So,  2x = 14 and x = 7.


The width is 7 cm.  The length is  13 cm.


Alternatively, you can solve equation (1) formally as a quadratic equation.


You will get the same answer.
</pre>

Solved, answered, explained and completed.



Happy learning (!)