Find X: Converting Quadrilateral ABCD into a Parallelogram with Side Length 18

Question

In front of you the next quadrilateral:

What should the value of x be for the quadrilateral ABCD to be a parallelogram?

AAABBBCCCDDDx18

Step-by-Step Solution

The problem requires determining the value of x x for the quadrilateral ABCD to be a parallelogram, which involves setting opposite sides of the quadrilateral equal to each other.

For a quadrilateral to be a parallelogram, its opposite sides must be equal. Therefore, we can set the following equality:

BC=AD BC = AD

In the given diagram, it states that BC=18 BC = 18 and AD=x AD = x . Since opposite sides of a parallelogram are equal, we have:

x=18 x = 18

Thus, by equating the lengths of the opposite sides, we derive the value of x x as 18\textbf{18}.

Therefore, the value of x x for quadrilateral ABCD to be a parallelogram is x=18 x = 18 .

Answer

18