Question

In exchange for square plot of land one of whose sides is $84$ m a man wants to buy a rectangular plot $144$ m long and of the same area as the square plot Determine the width of the rectangular plot

• A. $48$ m
• B. $50$ m
• C. $49$ m
• D. $49.5$ m

Answer 1

The correct option is C $49$ m

Area of square plot$={\left(84\right)}^2=7056m^2$

Let width of the plate be ${}^{\prime }{b}^{\prime }m$

Area of rectangular plot=area of square plot

$\Rightarrow 144\times b=7056\Rightarrow b=49m$