Calculate Parallelogram Perimeter: 12-Unit Base with 7-Unit Side Length

Question

Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.

00:00 Calculate the perimeter of the parallelogram

00:03 The perimeter of the parallelogram equals the sum of its sides

00:07 Opposite sides are equal in a parallelogram

00:18 Let's substitute appropriate values according to the given data, and solve for the perimeter

00:30 And this is the solution to the question

First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.

Therefore, AB is parallel to CD and BC is parallel to AD.

From this we can conclude that AB = CD = 7.

Also: BC = AD = 12.

Finally we can calculate the perimeter by adding all the sides together:

$7+7+12+12=14+24=38$