SOLUTION: 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 /

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Question 1136818: 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
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
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


Solution 

Since linear dimensions of the larger triangle are  4%2F3  of that of the smaller triangle,

the area of the larger triangle is  %284%2F3%29%5E2  of the area of the smaller triangle.


Therefore, the answer to the problem's question is


    %284%2F3%29%5E2%2A9+-+9 = 16 - 9 = 7 square unites.

Answered and solved.