Question

4.A square plot of land has an area of 256 square
units. Find the length of the diagonal of the square
land.

Answer 1

Given :-

A  square plot of land has an area of 256 square units

To Find :-

Length of diagonal

Solution :-

We know that

$\bf Area=side^2$

$\sf\implies 256= (s)^2$

$\sf\implies \sqrt{256}=s$

$\sf\implies 16=s$

Now,

$\bf Diagonal = \sqrt{2}\times Side$

$\sf\implies D =\sqrt{2}\times 16$

$\sf\implies D = 16\sqrt{2} \; unit$