volume_mute

If all measurements are in centimetres, the area of the figure below is:

publish date2020/11/06 22:46:00 GMT+11

volume_mute

Unit of measurement is cm2

complex-shape-2.jpg

 

50.73
99.82
80.18
90
119.45

Correct Answer

80.18

Explanation

This is a rectangle shape and three halves of circles.  Two halves are taken away from the rectangle area and one half is added to the rectangle area.  These half-circles are all the same in area.

In other words

Area = rectangle area - half circle + half circle - half circle   

Two half circles cancel each other    

Area = rectangle area - half circle   

Rectangle area = 6 * 15 = 90 cm2

half circle = (π * 2.52 ) / 2 = 9.8125 cm2

Area = 90 - 9.8125 = 80.18 cm2


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