Answer: Section formula
Step-by-step explanation:
Given
The line segment AB with endpoints
and
is divided by a point X in the ratio 1:2
To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.
We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.
perimeter: 16
multiply it by 4 (since it's a square)
area: 80
it's a square so all you need to do is multiply it by itself
4 x 
16 x 5 (squared them)
80