Question

Help me please!




If the unit of length is tripled, the numerical value of area of square will be

(1) One ninth
(2) One sixth
(3) Nine times
(4) Remains same

Please answer the question with steps.

Answer 1

Final Answer : 1/9

Let the unit of length be 1L.
Initial, value of 1L = k(say)
Then,
side of square be 'a'k units.
Area of square = ( a^2) k^2 units.
= a^2 L^2 units

Now,
Unit of length is tripled, 1L = 3k units.
=> 1k = L/3 .
Then,
Area of square is a^2 k^2 units.
=> a^2 (L/3)^2
=> a^2L^2/9 units.
There fore, Numerical value of area of square becomes 1/9 of initial in original units.

Answer 2

Answer:

one-nineth

Explanation:

3m=1 unit

m=1/3 unit

area= (m)^2

      =(1/3)^2

area=1/9