Find the length of each side of ▱ABCD. AB= BC= CD= DA=

Question

In the figure, AB = 4x + 1, BC = 3x + 4, and CD = 7x − 5.

Find the length of each side of ▱ABCD.

AB=

BC=

CD=

DA=

Answer 1

Opposite sides of a parallelogram are equal, so AB = CD

Substituting their given expressions:

4x + 1 = 7x - 5

x = 2

so AB = 4x + 1 = 4*2 + 1 = 9

and CD = 9

BC = 3x + 4 = 3*2 + 4 = 10

Since opposite sides of a parallelogram are equal DA = BC = 10