Question

find the area of the shaded region ​

Answer 1

Given,

side of square =14cm

Area of larger Square =side  

2

 

=14  

2

 

=196cm  

2

 

There are four semi circle that means we have two complete circles of diameter of 2xcm

then we can observe that

3+x+2x+x+3=14

i.e., x=2

so radius of circle is 2cm

Area of non shaded region=area of two circle + area of square of side 4cm

= 2.pi.r  

2

+side  

2

 

= 25.12+16

= 41.12cm  

2

 

Hence,

Required area of shaded region =196−41.12=154.88cm  

2

.