Answer:
See Explanation
Step-by-step 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
Recall that:
So:
<em>This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.</em>
<em></em>
The area of the blue triangle is:
The area of the yellow triangle is:
Rewrite as:
Recall that:
So:
<em>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.</em>