Answer:
Ben's mistake was not multiplying the area of the original triangle by the scale factor squared.
Step-by-step explanation:
we know that
The dilation is a non-rigid transformation that produce similar figures
so
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the enlarged triangle
y ----> the area of the original triangle
so
[tex]z^{2}=\frac{x}{y}[/tex]
[tex]x=y(z^2)[/tex]
The area of the enlarged triangle is equal to the area of the original triangle multiplied by the scale factor squared
[tex]x=\frac{1}{2}(4)(3.5)(5^2)=175\ cm^2[/tex]
therefore
Ben's mistake was not multiplying the area of the original triangle by the scale factor squared.
