Question

Find the perimeter of parallelogram ABCD with vertices A(-5,6), B(2,6), C(1,-2), and D(8,-2)

17 units
43 units
34 units
40 units​

Answer 1

34 [units].

Explanation:

1) according to the property of parallelogram (AC=BD and AB=CD) the required perimeter can be calculated as P=2AB+2AC;

2) the length of AB=7 (the coordinates 'y' are equal);

3) the length of AC:

`|AC|=√((1+5)^2+(-2-6)^2)=10.`

4) finally, the required perimeter is:

P=2(7+10)=34 [units].