Algebra Examples
(3,3) , (3,-4) , (-5,3)
Step 1
The distances between the given points are the length (l), width (w), and diagonal (d).
The distance between the three corners is:
(3,3) and (3,-4) → 7
(3,3) and (-5,3) → 8
(3,-4) and (-5,3) → √113
Step 2
The diagonal is the longest distance and the width is the shortest distance, which means l=8 and w=7.
l=8
Step 3
The perimeter of a rectangle is P=2⋅(l+w).
P=2⋅(l+w)
Step 4
Step 4.1
Remove parentheses.
P=2⋅(8+7)
Step 4.2
Simplify 2⋅(8+7).
Step 4.2.1
Add 8 and 7.
P=2⋅15
Step 4.2.2
Multiply 2 by 15.
P=30
P=30
P=30
Step 5