Question 1128539
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You need to find the width, so let that be the variable.<br>
Let w = width<br>
Then the height is 1 more than twice the width:<br>
Then h = 2w+1<br>
The volume is lwh; and you are given v=100 and l=10.  So<br>
{{{100 = 10(w)(2w+1)}}}
{{{w(2w+1) = 10}}}<br>
If you want to (or have to) use formal algebra, that gives you a quadratic equation that is relatively easy to solve.<br>
But you should be able to see the solution without formal algebra.  What two numbers multiplied together give a product of 10, with one of the numbers being 1 more than twice the other?