Calculate the Perimeter of Parallelogram ABCD with Side Length 10

Calculate the perimeter of the parallelogram ABCD.

AB is parallel to CD.

Video Solution

Solution Steps

00:00 Calculate the perimeter of the parallelogram

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

00:07 Opposite sides are equal in a parallelogram, so we'll multiply the sum

00:09 We'll substitute appropriate values according to the given data, and solve for the perimeter

00:16 And this is the solution to the problem

Step-by-Step Solution

To find the perimeter of the parallelogram ABCD, we will use the formula for the perimeter of a parallelogram:

The formula for the perimeter $P$ is $P = 2 \times (\text{length of one base} + \text{length of one side})$ .

Given that:

Substituting these values into the formula for the perimeter, we get:

P = 2 \times (X + 10)

Distribute the 2:

P = 2X + 20

Therefore, the perimeter of parallelogram ABCD is $2X + 20$ .

The correct answer, as per the choices given, is choice 4: $2x+20$ .