the figure, all the corners are right-angled and the dimensions are as given in centimetres. Find, a if the perimeter of the shaded area is 1 metre.
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Answered by
113
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
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