Question 187384
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Let Height=<font color=red>h=x(ft)</font>
Let the Base=<font color=red>b=3+x(ft)</font>
With Area=<font color=red>A=2ft^2</font>

Then, {{{A=(1/2)bh}}}
{{{2(ft^2)=(1/2)(3+x)(x)}}} --->{{{2=(1/2)(3x+x^2)}}}, Cross multiply
{{{3x+x^2=2*2}}}--->{{{x^2+3x-4=0}}}
Being a perfect square: {{{(x+4)(x-1)=0}}}
Answer: {{{red(x=1ft)}}} Height; discard, x=-4
And the Base= {{{3+1=red(4ft)}}}
In doubt? Go back our Eqn----> {{{2ft^2=(1/cross(2))(cross(4)2)(1)}}}
{{{2ft^2=2ft^2}}}
Thank you,
Jojo</font>