Question 53

If the length of the diagonal of a square is 14 cm, then what will be area of the square?

Solution

Given, Length of the diagonal of the square = $$\sqrt{2}a = 14 cm$$ where a = side of the square
=> $$a = \dfrac{14}{\sqrt{2}} cm$$
Then, Area of the square = $$(\dfrac{14}{\sqrt{2}})^2 = \dfrac{196}{2} = 98 cm^2$$


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