Question

A man bought a rectangular plot of $144$ m length and $64$ m width. In exchange for this field he wanted to buy a square field of the same area. Then the side of the square field would be

• A. $104$ m
• B. $208$ m
• C. $96$ m
• D. $416$ m

Answer 1

The correct option is C $96$ m

Area of rectangular field$=$Length $\times$ breadth$=(144\times 64)=9216m^2$

Let side of the sqaure field be ${}^{\prime }{a}^{\prime }m$

$\therefore$ Area of square field$=a^2\Rightarrow a^2=9216m^2\Rightarrow a=\sqrt{9216}=96m$