Answer:
66 feet
Step-by-step explanation:
Parallelograms have 2 pair of parallel sides that are congruent to each other.
In parallelogram ABCD, we can say:
AB = DC
and
BC = AD
AB and DC are given, and they are equal. So we can say:
AB = DC
6x - 2 = 3x + 13
Now we can solve for x:
6x - 2 = 3x + 13
6x - 3x = 13 + 2
3x = 15
x = 15/3
x = 5
So,
AB = 6x - 2
AB = 6(5) - 2 = 28
So, DC = 28
We are also given AD = 5, so BC = 5 as well [since AD = BC]
Now, we know the length of all 4 sides.
The perimeter is the sum of all 4 sides. Hence,
Perimeter = 28 + 28 + 5 + 5 = 66 feet
