Answer:
AB = 11
BC = 29
DC = 11
AD = 29
Explanation:
First, draw out and label the parallelogram ABCD. I've done so for you below:
Now, to figure out what to label the sides, refer to:
AD is 7 more than twice AB.
"Than" means that whatever we write, we flip it. For example, 7 more then 5 would be 5+7. Though this may not be important for addition, it is for subtraction. For example, 7 less than 5. This would be 5-7, but if you wrote it wrong, it would be 7-5.
"Is" is key word for "=". So:
AD = 7 more than twice AB.
"Twice" means "two times." So:
AD = 7 more than 2(AB).
AD = 2(AB) + 7
Let's label AB as x.
If the perimeter is 80, then that means AD+AB+BC+DC=80.
We know that in a parallelogram, opposite sides are congruent. So:
AD+AD+AB+AB=80
(2x+7) + (2x+7) + x + x = 80
2(2x+7) +2x = 80
4x + 14 + 2x = 80
6x + 14 = 80
6x = 66
x = 11
AB = 11
AD = 2x + 7
= 2(11) + 7
= 22 + 7
= 29