Question

A new unit of length is equal to 10 m. The area of 5 m² expressed in terms of new unit has magnitude

(1) 0.05
(2) 0.50
(3) 5.05
(4) 5.00

Please answer the question with proper steps.

Answer 1

Final Answer : 0.05

Let the new unit defined be ' k' units.
Then, we know that
1 k = 10m
=> (1/10)k = 1m

So,
Now,
we see that
$5 {m}^{2} = 5 {( \frac{k}{10}) }^{2} \\ = > \frac{5}{100} {k}^{2} \: \\ = > 0.05 {k}^{2}$

Therefore, Area of 5m^2 in new unit has magnitude 0.05 .

Answer 2

Answer:

0.05

Explanation:

10m = 1n

1 m = 1/10n

area = 5m^2

5m^2 = 5×(1/10)^2

=5×1\100

= 0.05