Question 168074
We know that {{{A[T]=(1/2)bh}}}, EQN 1
But {{{h=b+4}}}, exceeds the base by 4 inches
So, {{{30=(1/2)(b)(b+4)}}}, cross multiply
{{{30*2=b^2+4b}}}
{{{b^2+4b-60=0}}}, factor out being perfect square
{{{(b+10)(b-6)=0}}}
Therefore, {{{highlight(b=6inches)}}}; {{{b=-10}}}
{{{Base=6inches}}}
{{{Height=altitude=6+4=10inches}}}
Check,
{{{30=(1/2)(6)(10)}}}
{{{30=(1/2)(60)}}}
{{{30=30}}}
Thank you,
Jojo