for each similar figures, use the given areas to find the scale factor from the first to the second figure. then find x.

Explanation
The ratio of the area of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles.
[tex]\frac{area\text{ 1}}{area\text{ 2}}=\left(s.f\right)^2[/tex]so
Step 1
Let
[tex]\begin{gathered} area1=153\text{\lparen in}^2) \\ area2=272\text{ \lparen in}^2) \end{gathered}[/tex]replace fo find the s.f
[tex]\frac{area\text{ 1}}{area\text{ 2}}=\left(s.f\right)^2[/tex]