A circle with radius 4 cm is tangent to three sides of a rectangle, as shown. The area of the rectangle is twice the area of the circle. What is the length of the longer side of the rectangle, in centimeters? Express your answer in terms of pi.
Area of circle is πr2 42 • π = 16π
Area of rectangle is twice area of circle 2 • 16π = 32π
Area of rectangle is length times width L • 8 = 32π
Divide both sides by 8 L = 4π cm