Examples
(-2,5)(−2,5) , (-4,3)(−4,3) , (-2,3)(−2,3)
Step 1
The distances between the given points are the length (l), width (w), and diagonal (d).
The distance between the three corners is:
(-2,5)(−2,5) and (-4,3)(−4,3) →→ 2√22√2
(-2,5)(−2,5) and (-2,3)(−2,3) →→ 22
(-4,3)(−4,3) and (-2,3)(−2,3) →→ 22
Step 2
The diagonal is the longest distance and the width is the shortest distance, which means l=2l=2 and w=2w=2.
l=2l=2
Step 3
The perimeter of a rectangle is P=2⋅(l+w)P=2⋅(l+w).
P=2⋅(l+w)P=2⋅(l+w)
Step 4
Step 4.1
Remove parentheses.
P=2⋅(2+2)P=2⋅(2+2)
Step 4.2
Simplify 2⋅(2+2)2⋅(2+2).
Step 4.2.1
Add 22 and 22.
P=2⋅4P=2⋅4
Step 4.2.2
Multiply 22 by 44.
P=8P=8
P=8P=8
P=8P=8
Step 5