Question

In exchange of a square plot one of whose sides is 84 m, a man wants to buy a rectangular plot 144 m long and

of the same area as of the square plot. Find the width of the rectangular plot.​

Answer 1

Side of square plot =84m

Area of this plot =(84×84)m²

=7056m²

length of rectangular plot =144m.

We know that area of square plot is same as Area of rectangular plot

Let breadth of rectangular plot be x.

Then 144x=7056

x= 7056/144

=49

width of rectangular plot will be 49m.

Answer 2

Side of square plot = 84m

Length of rectangle = 144m

Area of Rectangle = Area of Square

Length ×Breadth = side ×side

144 ×B = 84 ×84

$b = \frac{84 \times 84}{144} \\ b=7 \times 7 = 49$