A quadrilateral is circumscribed around a circle. The sum of the lengths of two of its opposite sides is 15 cm. Find the perimeter of the quadrilateral.

The perimeter of the quadrilateral is 30 cm.

Step-by-step explanation:

To circumscribe implies drawing a required figure around a given figure, while to inscribe means drawing a required figure inside a given figure. From the question, the quadrilateral is circumscribed around the circle.

And given that the sum of the lengths of its two opposite sides is 15 cm.

The perimeter of a figure is the sum of the length of the sides of the figure.  For this quadrilateral, the sum of opposite sides are equal.Thus;

Perimeter of the quadrilateral = 2(l+b)

                                                 = (l + b) + (l + b)

                                                 = 15 + 15

                                                 = 30

The perimeter of the quadrilateral is 30 cm.