Answer:
Step-by-step explanation:
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We have given the area of each circle as 196 pi square units.
since the area of the circle =[tex]\pi*radius^2[/tex]
so,the radius of the circle :
[tex]196\pi =\pi r^2[/tex]
[tex]r^2=196[/tex]
[tex]r=14[/tex]
therefore the diameter of the circle will be [tex]2*radius=2*14=28[/tex]
the perimeter of the rectangle=[tex]2*(length+ width)[/tex]
the length of the rectangle will be addition of diameters of the circle=[tex]28+28=56[/tex]
breadth of the rectangle is equal of the diameter =28
Perimeter of the rectangle =[tex]2*(56+28)=168[/tex]
Answer 168 units.
The perimeter of the given rectangle is 168 units
Given that area of each of the circles are [tex] 196 \pi [/tex] sq units and we know that the area of circle [tex]=\pi r^{2}[/tex] using this radius of the circle will be
[tex]\pi r^{2} =196\pi\\ r^{2} = 196\\ \\ r=14[/tex]
So, the diameter of the circle is twice the radius which is
[tex]2\times r\\ 2\times 14 =28 [/tex]
Here we can see that length of rectangle is equal to twice the diameter of the circle and breadth is equals to twice the radius
[tex]length= 28+28=56[/tex]
[tex]breadth = 2\cdot14=28[/tex]
How to find the perimeter of the given rectangle ?
To find the perimeter we use the formula
Perimeter of rectangle = [tex]2\cdot(length + breadth)[/tex]
On solving we get ,
[tex]2\cdot(56 +28)\\ 168 units[/tex]
Therefore, The perimeter of the given rectangle is 168 units
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