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The length of the diagonal of the square is 10 cm. Find the area of the square.

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20 {cm}^{2}

100 {cm}^{2}

50 {cm}^{2}

70 {cm}^{2}

answer is C.

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Detailed Solution

Given,
Length of the diagonal square

= 10 cm

We know that

= \sqrt{2} \times side

[Formula of diagonal of square]

= \sqrt{2} \times side = 10

\Rightarrow side = \frac{10}{\sqrt{2}}

= \frac{10 \sqrt{2}}{2}

= 5 \sqrt{2} cm

Now calculate the area of square

= (side)^{2}

= (5 \sqrt{2})^{2}

= 50 {cm}^{2}

Correct option is 3.

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