Question 1136818
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<pre>
Triangle CAE is an enlargement of triangle CBD with a scale factor 4/3.
Given that the area of CBD is 9cm², find area of ABDE 

          A / \
           /   \B
          /    /\
         /    /  \
        /    /    \
       /____/______\
       E    D       C
</pre>


<B>Solution</B>


<pre>
Since linear dimensions of the larger triangle are  {{{4/3}}}  of that of the smaller triangle,

the area of the larger triangle is  {{{(4/3)^2}}}  of the area of the smaller triangle.


Therefore, the answer to the problem's question is


    {{{(4/3)^2*9 - 9}}} = 16 - 9 = 7 square unites.
</pre>

Answered and solved.