see the attached figure to better understand the problem
Let
x------> the length side of a rectangle
y-------> the width side of a rectangle
we know that
the perimeter of a rectangle is equal to the formula
in this problem
Step 1
<u>Find the distance AB</u>
we know that
the distance's formula between two points is equal to
substitute the values
Step 2
<u>Find the distance BC</u>
tex]B(2,8)\\C(4,4)[/tex]
we know that
the distance's formula between two points is equal to
substitute the values
Step 3
<u>Find the perimeter</u>
we know that
the perimeter of a rectangle is equal to the formula
we have
substitute the values of the distance in the formula
therefore
<u>the answer is</u>
The perimeter of the rectangle is equal to