Answer:
a = 9 cm
Step-by-step explanation:
We are given that
perimeter of shaded area = 1 m = 100 cm
But according to given diagram
The perimeter of shaded area = ( 3a + 2a + 2 + 2a + 3 + 2 + 3a + 3 ) cm
= (10a + 10) cm
By using given perimeter = 1 cm we get
The perimeter of shaded area = ( 10a + 10 ) cm = 100 cm
10a = 90 cm
a = 90 / 10 = 9 cm
Thus
a = 9 cm
Hope this helps!
