Question

Find the area of a square, the length of whose diagonal is 96cm.



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Answer 1

• It is given that the length of diagonal is 96 cm

We have to find out the area of the square.

• Now, we know the relation between diagonal and side of a square.

diagonal = side /$\sqrt{2}$

so, side = diagonal × $\sqrt{2}$

            = 96  × $\sqrt{2}$

           = 96× 1.414

          = 135.74

Now, we also know the formula of area of square

Area = (side)²

       = (135.74)²

      = 18426.43 cm²

      = 1.84 m²

The area of the square will be 1.84 m²

Answer 2

Given:

It is given that the length of the diagonal is 96 cm

Find:

We have to find out the area of the square.

Solution:

Now,

we know the relation between diagonal and side of a square.

diagonal    $= \frac{Side}{\sqrt{2}}$

so,

side $= diagonal * \sqrt{2}$

             $= 96 * \sqrt{2}$

             $= 96* 1.414$

              $= 135.74$

Now,

we also know the formula of area of square

Area $= (side)^{2}$

         = $(135.74)^{2}$

         $=18426.43 cm^{2}$

         $= 1.84 m^{2}$

Hence, we get the area of the square will be $= 1.84 m^{2}$