In a quadrilateral ABCD, sides AB and BC are equal and sides AD and CD are equal, BC = 34 cm

In a quadrilateral ABCD, sides AB and BC are equal and sides AD and CD are equal, BC = 34 cm, and CD is 12 cm larger than AB. Find the perimeter of this quadrilateral.

To determine what the perimatron of a quadrilateral is, you need to find the sum of the lengths of all its sides. If side AB and BC are equal, and the length of side BC is 34 cm, then the length of side AB is also 34 cm.

If the CD side is 12 cm larger than the AB side, then it is equal to 34 + 12 = 46 cm. And since the length of the CD side is equal to the length of the AD side, then AD = 46 cm.

34 + 34 + 46 + 46 = 160 cm.

Answer: the perimeter of the quadrilateral is 160 cm