### Video Transcript

In the given figure, lines π΄π΅ and
πΆπ· are parallel, lines π΄πΊ and π΅π· are parallel, and π΄π΅πΉπΆ is a
rectangle. If the area of the parallelogram
π΄π΅π·πΊ is 30 square centimeters and π΄π΅ is five centimeters, find the perimeter
of rectangle π΄π΅πΉπΆ.

So, π΄π΅πΉπΆ is a rectangle, which
is a special type of parallelogram. We can see that this parallelogram
shares a base π΄π΅ with the parallelogram π΄π΅π·πΊ. That these two parallelograms lie
between a pair of parallel lines and share a common base means that they have the
same area. We are given that this area is 30
square centimeters. Since π΄π΅πΉπΆ is a rectangle, its
area is equal to its base times its height, that is, π΄π΅ times π΄πΆ.

We are given that π΄π΅ has length
five. Since 30 is five times six, it
follows immediately that π΄πΆ has length six. The perimeter of π΄π΅πΉπΆ is, by
definition, the sum of π΄π΅, π΅πΉ, πΉπΆ, and π΄πΆ. This is five plus six plus five
plus six, which is 22 centimeters.