Question 1144202
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I will solve #1 only.


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Let x be the height, in feet.

Then the base is 3x ft, according to the condition.


The area is  


     area = {{{(1/2)*x*(3x)}}} = 24 square feet,   or


     3x^2 = 2*24 = 48,

      x^2        = 48/3 = 16

      x = {{{sqrt(16)}}} = 4.


<U>ANSWER</U>.  The height is 4 ft;  the base is 3*4 = 12 ft.
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Solved.