Answer:
[tex]A_{new}=9A_{original}[/tex]
Step-by-step explanation:
The are of a trapezoid is:
[tex]A_{original}=\frac{(a+b)}{2}h[/tex]
where:
- a and b are bases
- h is the height
When a geometric figure dilates, every coordinate of the original figure must be multiplied by the scale factor of this dilatation. In our case this factor is 3, therefore we will have:
[tex]A_{new}=\frac{(3a+3b)}{2}3h[/tex]
[tex]A_{new}=9\frac{(a+b)}{2}h[/tex]
[tex]A_{new}=9A_{original}[/tex]
The new area is 9 times the original one.
I hope it helps you!
