Question

In parallelogram ABCD, AB = 6x-4, CD = 5x + 1, and BC = 2x.

What is the perimeter of ABCD?
D
Perimeter =
A
units
C
B

Answer 1

15x-3

Explanation:

Recall that parallelograms, as the name implies, have two pairs of parallel sides. In this case, line segments AB and CD are parallel to each other, and then BC and DA are parallel to each other:

Perimeter = AB + BC + CD + DA = (6x-4) + (2x) + (5x+1) + (2x) = 15x - 3