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Question:

Two identical circles are drawn next to each other with their sides touching; both circles are enclosed in a rectangle that has sides tangent to the circles. If each circle's radius is 2 cm, what is the area of the rectangle?

A \(32cm^2\)
explanation

The radius of each circle is 2 cm; therefore, the diameter of each circle is 4 cm. The length of the rectangle is equal to 2 diameters (8 cm), and the width of the rectangle is equal to 1 diameter (4 cm).
\(8 cm × 4 cm = 32 cm^2\)