P (any figure) = sum of all sides
P(6)= sum of 6 sides, where p=perimeter.
P=2+9+11+2+side5+side6
- Notice that two sides are missing their lengths, so we must use other information to solve for their side lengths. Because of this, we label these lengths as side5 and side6, rather than assigning two variables to them since they are different lengths.
Side5=11-2
Side5=9in.
- Notice that side 1 is 2in. Because this side is parallel to side5, it is added to side5 for a total length of 11in.
Side6=9-2
Side6=7in.
- The same idea applies to side6; side 4 is parallel to side6 and adds to it for a total of 9in.
• Substitute the values back into the equation:
P=2+9+11+2+(9)+(7)
P=40in.
So, the perimeter is 40in.