A bookmark is like a rectangle with a semicircle attached at both ends. The rectangle is 12 cm long and 4 cm wide. The diameter of each semicircle is the width of the rectangle. What is the area of the bookmark?

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Answer 1 · 2016-02-15T19:37:01

#(48 + 4pi) cm^2=60.57cm^2#

2 semicircles of equal diameters make one circle
#diameter=4# => #radius=(diameter)/2=2#

#S_circ=pi*r^2=pi*2^2=4pi#

#S_"rectangle"="length"*"width"=12*4=48#

#S_T=S_"rectangle"+S_circ=(48 + 4pi) cm^2=60.57cm^2#