Question

The side of a square is (20+0.2) cm. The maximumpercentage error in its perimeter is(1) 5%(2) 3%(3) 1%(4) 4%​

Answer 1

Answer:

1% is the answer.

Explanation:

%error=∆a/a*100

Answer 2

The maximum percentage error in its perimeter is 1%. And option 'C' is correct.

Given:-

Side of a square = (20+0.2)cm

To Find:-

The maximum percentage error in its perimeter.

Solution:-

We can easily calculate the maximum percentage error in its perimeter by using these simple steps.

As

Side of a square (a) = (20+0.2)cm

Perimeter of square = 4×side of square

P = 4 × a

p = 4 × (20+0.2)

p = (80+0.8)cm

On comparing p with (a+∆a)

a = 80

∆a = 0.8

According to the formula of percentage error,

$\%error = \frac{∆a}{a} \times 100$

Now by putting the values we get,

$\%e = \frac{0.8}{80} \times 100$

$\%e = \frac{8}{800} \times 100$

$\%e = \frac{8}{8}$

$\%e = 1$

Hence, The maximum percentage error in its perimeter is 1%. And option 'C' is correct.

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