please answer this question

Answers
Answer:
perimeter is 100cm.
Step-by-step explanation:
perimeter = 2(28)+2pi (r)
[2pi r because 2 semicircle forms a
signle circle]
= 56 +2 (22/7)
= 56 + 2 (22)
= 56 + 44
100 cm.
Question Understanding :-
• The given figure is made up of rectangle and 2 Semicircle. so firstly we will find the perimeter of rectangle then 2 Semicircles or you can consider these two semicicles as one circle
Solution :-
The two semicicles are given
The height of semicircles are 7 cm each
As we know that,
The height and radius of semicircle is equal.
Diameter of the semicircle = 2 * R = 2 * 7 = 14cm
Therefore,
Perimeter of 2 Semicircle = 2 ( πr + d)
Subsitute the required values,
Perimeter of 2 semicircles
= 2 ( 22/7 * 7 + 14)
= 2 ( 22 + 14)
= 2 ( 36)
= 72cm
Now,
The sides of rectangle are 28cm and 14cm
Therefore,
Perimeter of rectangle
= 2( l + B)
= 2 ( 28 + 14)
= 2 * 42
= 84cm
Now,
Total perimeter of the given figure
= Perimeter of 2 semicircles + Perimeter of rectangle
= 72 + 84
= 156cm