Question

Area of a square field is 30 1/4m2 calculate the length of the side of the square.

Answer 1

$\Large{\mathfrak{\underline{\underline{Solution :-}}}}$

Given :-

Area of Square Field = $30 \dfrac{1}{4} \: m^{2}$

To Find :-

Side of Square Field

Formula To Use :-

1. Area of Square = Side × Side

Explanation :-

$\sf Area \: of \: Square = Side × Side \\ \implies \sf 30 \dfrac{1}{4} \: m^{2} = Side {}^{2} \\ \implies \sf \frac{121}{4} \: m {}^{2} = Side {}^{2} \\ \implies \sf \frac{11 {}^{2} }{ {2}^{2} } \: m {}^{2} = Side {}^{2} \\ \implies \sf {\bigg( \frac{11}{2} \: m \bigg)}^{ \cancel2} = Side {}^{ \cancel2} \\ \implies \sf \frac{11}{2} \: m = Side$

Answer 2

Answer:

Find the smallest number by which 2048 should be divided so that the quotient is a perfect square.