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# If the unit of length is x metres in a new system of units (x > 1) then the numerical value of area in the new system of units will be how many times its numerical value in S. I?

$\begin{array}{1 1}(A)\;x \\(B)\;\frac{1}{X} \\(C)\;x^2 \\(D)\;\frac{1}{x^2} \end{array}$

Using $n_1[u_1] =n_2[u_2]$ where $u= L^2$
$n_2=n_1 \bigg(\large\frac{L_1}{L_2} \bigg)^2$
On putting $L_1 =1$ and $L_2 -xm$ and $n_1 =1$ we get $n_2 = \large\frac{1}{x^2}$
Hence D is the correct answer.