Answer:
Find the length of sides. The sum of these sides is the perimeter of a quadrilateral
Step-by-step explanation:
A quadrilateral is a figure that has four sides. To find the perimeter of any quadrilateral, we find the sum of all four sides.
<u>Given: </u>
The co-ordinates of all vertices of a quadrilateral is known
<u>To Find:</u>
Perimeter of a quadrilateral
<u>Steps:</u>
1. Find the length of all sides using the straight line distance formula.
2. Add all the sides to find perimeter.
Let us take an example:
In figure the four co-ordinates are as follows:
A(1,3), B(4,2), C(3,0) and D(1,1)
Perimeter of quadrilateral ABCD= AB+BC+CD+DA
To find AB we use straight line distance formula, which is as follows:
AB = where
Substituting values we get,
AB=
AB=
AB=
AB=
Similarly, we can find length of BC,CD and DA
BC= ,CD=
,DA=2
Then sum of these sides is perimeter of quadrilateral=
Note: In this example, the perimeter cam out in roots, due to the values of co-ordinates taken. But the sum can also be a whole number.
