Question 162999
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Remember: {{{Area[T]=(1/2)bh}}} --------------> working eqn
But as per condition, {{{b=h+7cm}}}
So,
{{{A[T]=(1/2)(h+7)(h)}}}
{{{22cm^2=(1/2)(h^2+7h)}}}, cross multiply & transpose
{{{22*2=h^2+7h}}}
{{{h^2+7h-44=0}}}
factor out being a perfect square:
{{{(h+11)(h-4)=0}}}
{{{h=-11}}}, No good
{{{highlight(h=4cm)}}} ANSWER
so, {{{highlight(b=4+7=11cm)}}}
Check via working eqn,
{{{22cm^2=(1/2)(11)(4)}}}
{{{22cm^2=(1/cross(2))(cross(44)22)}}}
{{{22cm^2=22cm^2}}}
Thank you,
Jojo</pre>