Question

Find the area of a square, the length of whose diagonal is 54cm
(With a proper solution
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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

In context to question asked,

We have to determine the area of square.

As per question,

Diagonal of square = 54 cm

As we know that,

Diagonal of square $={\sqrt{2}}\times sides$

So, from above formula,

We will get the side of square as,

$54 = {\sqrt{2}} \times sides\\=> sides = \frac{54}{{\sqrt{2}}}\:cm$

As we know that,

Area of square $=side^2$

So, putting the value of side of square in above formula,

We will get,

$Area = \frac{54}{{\sqrt{2}}}^2 = \frac{54}{{\sqrt{2}}}\times \frac{54}{{\sqrt{2}}}\\=>Area = \frac{54 \times 54}{2 \times 2}\\=>Area = 729\:cm^2$

Hence, area of the square will be 729 sq. cm.