The perimeter of a rectangle is given by the formula:
Where a is the length of the vertical sides and b the length of the horizontal sides.
Now let's visualize the figure in the cartesian plane:
To find the length of the side b, we use the formula:
Where x2 and x1 are the x coordinates of the vertices of the bottom side.
To find the length of side a, we can use the formula:
Where y2 and y1 are the y-coordinates of the vertices of the left side.
In this case:
x2=5 and x1= -3
y2=9 and y1= -1
Then we get:
Then the perimeter is:
Then, the perimeter of the rectangle equals 36