Question 1176087
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Let the height be x;

then the base is  4x+7.


The area equation is


    {{{(1/2)*x*(4x+7)}}} = 568.


Simplify


    x*(4x+7) = 1136.


Transform it to the standard form quadratic equation and solve using the quadratic formula.


The remaining steps are elementary and I leave it to you to complete on your own.
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