Question

Julian has a rectangular picture. He enlarges the picture so that each dimension is 9 times its original dimension Which statement about the areas of the pictures is true?

Answer 1

Given Data:

The dimension of the rectangle is 9 times the original dimension i.e.

$\frac{l_f}{l_i}=\frac{b_f}{b_i}=9$

The ratio of the area of the rectangle can be determined as,

$\begin{gathered} \frac{A_f}{A_i}=(\frac{l_f}{l_i})^2 \\ =9^2 \\ =81. \end{gathered}$

Thus, area of the enlarged picture is 81 times the area of the original picture.

Thus, option (E) is the correct solution.