Question 1063348
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If the length of a rectangle increases by 2 cm, its area will increase by 12 cm2. If the width increases by 3 cm, 
its area will increase by 21cm^2. What is the original area of the rectangle?
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Everything is much easier and simpler than the "josgarithmetic" solution is. 


<pre>
1.  (L+2)*W - LW = 12.   ( "If the length of a rectangle increases by 2 cm, its area will increase by 12 cm2" )  --->

    LW + 2W - LW = 12  --->  2W = 12  --->  W = {{{12/2}}} = 6 cm.


2.  L*(W+3) - LW = 21    ( "If the width increases by 3 cm, its area will increase by 21cm^2." )  --->  

    LW + 3L - LW = 21  --->  3L = 21  --->  L = {{{21/3}}} = 7 cm.

<U>Answer</U>.  L = 7 cm,  W = 6 cm.
</pre>

Solved.