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Mathematics

Find the length of a diagonal of a square of area 200 cm2.

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ABCD is a square with diagonal BD = d cm.

Find the length of a diagonal of a square of area 200 cm. ARC Properties of Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

We know that,

⇒Area of a square=12×(d)2⇒200=12×(d)2⇒d2=400⇒d=400⇒d=20 cm.\Rightarrow \text{Area of a square} = \dfrac{1}{2} \times (d)^2 \\[1em] \Rightarrow 200 = \dfrac{1}{2} \times (d)^2 \\[1em] \Rightarrow d^2 = 400 \\[1em] \Rightarrow d = \sqrt{400} \\[1em] \Rightarrow d = 20 \text{ cm}.

Hence, length of diagonal = 20 cm.

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