Question 75

The area of a square is 144 $$cm^{2}$$. What is the length of each of its diagonals?

Solution

The area of a square is 144 $$cm^{2}$$.

area of a square = $$\left(length\ of\ each\ side\right)^2$$

$$144 = \left(length\ of\ each\ side\right)^2$$

length of each side = 12 cm

length of each of its diagonals = $$\sqrt{\ \left(12\right)^2+\left(12\right)^2}$$

= $$\sqrt{2\times\ \left(12^2\right)}$$

= $$12\sqrt{2}$$ cm

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