Answer:
See Explanation
Explanation:
The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).
The following assumptions, apply:
(1) Scale factor of 1/2 from the blue to the yellow triangle.
(2) The dimension of the blue triangle are:



First, calculate the dimensions of the yellow triangle.
The dimension will be the product of the scale factor and the dimensions of the blue triangle.
So, we have:



The perimeter of the blue triangle is:


The perimeter of the yellow triangle is:


Factorize
![P_2 = (1)/(2)[x + y + z]](https://img.qammunity.org/2022/formulas/mathematics/high-school/k9p1xskvnc7ajrogfwia779dtip3ae8kcd.png)
Recall that:

So:

This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.
The area of the blue triangle is:



The area of the yellow triangle is:


Rewrite as:
![A_2 = (1)/(2)* (1)/(2) [(1)/(2)x h]](https://img.qammunity.org/2022/formulas/mathematics/high-school/5m5q5cyh4hj6zu1qhsejjoxm6zmvghovdb.png)
![A_2 = ((1)/(2))^2 *[(1)/(2)x h]](https://img.qammunity.org/2022/formulas/mathematics/high-school/p54origifjxduxpceyvx389wyhuomr7uvq.png)
Recall that:

So:

This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.