Question 1207447
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A contractor orders 8 cubic yards of premixed cement, all of which is to be used 
to pour a patio that will be 4 inches thick. If the length of the patio is specified 
to be twice the width, what will be the patio dimensions? (1 cubic yard 27 cubic feet)
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The volume of 8 cubic yards is 8*27 cubic feet, or  {{{8*27*12^3}}} cubic inches.

The area covered by the premixed cement is the volume divided by thickness, or

    {{{(8*27*12^3)/4}}} = 2*27 = 93312 square inches.


If the width is W, then the length is 2W, according to the problem.

So, the area equation is

    W * (2W) = 93312  square inches,  or

    2W^2 = 93312 

    W^2 = 93312/2 = 46656

    W = {{{sqrt(46656)}}} = 216 inches = 18 feet.


<U>ANSWER</U>.  The dimensions are 18 feet (the width) by 2*18 = 36 feet (the length).
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Solved, with full explanations.