Question

FIND The area of Square having diagonal 5√2cm

Answer 1

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Here is your answer...✌️

Let the side of Square be 'a'

Diagonal of Square = 5√2 cm

a√2 = 5√2 cm

=> a = 5 cm

Now

Area of Square = a²

= (5 cm)²

= 25 cm²

Answer 2

Answer:

Area of square will be 25 Sq. cm.

Step-by-step explanation:

In context to question asked,

We have to determine the area of square.

As per given that,

We have,

Diagonal = $5 {\sqrt{2}}\:cm$

As we know that,

Square is a four sides figure having all sides equal.

As we have,

Formula for finding the area of square in term of diagonal is,

$Area = \frac{d^2}{2}$

So, for determining the area of square we will put the value of diagonal of square in above formula,

Hence, we will get,

$Area = \frac{(5{\sqrt{2}}^2}{2}\\=>Area = \frac{{5\sqrt{2}} \times 5{\sqrt{2}}}{2}\\=>Area =\frac{25\times 2 }{2}\\=>Area = 25\:cm^2$