Answer:
22
Explanation:
The parallelogram has 4 sides.
Each pair of opposite sides is congruent.
AB = CD; AD = BC
The bottom side and the top side each measures 6 units.
AB = CD = 6
To find the lengths of the two diagonal sides, AD and BC, we use the Pythagorean theorem with a right triangle.
From point A, draw a vertical segment going down until it intersects side DC. Call the point of intersection E. AE and DC are perpendicular. Angle AED is a right angle.
Now you have right triangle DEA.
DE = 3
AE = 4
DE and AE are legs of right triangle DEA. AD is the hypotenuse of the triangle.
3² + 4² = (AD)²
(AD)² = 9 + 16
(AD)² = 25
AD = 5
Since the opposite side is congruent, BC = 5
perimeter = AB + BC + CD + AD
perimeter = 6 + 5 + 6 + 5
perimeter = 22