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?

1 Answer
Feb 15, 2016

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

Explanation:

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#