Question

8. The length of the diagonal of a square is 20 cm. Its area is
(a) 400 cm
(b) 200 cm
(c) 300 cm
(d) 100√2 cm​

Answer 1

Answer:

200

Step-by-step explanation:

400=2x^2 using Pythagoras theorem

20^2=x^2+x^2

x^2=200

area =x^2

side be x

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Answer 2

$2 {a}^{2} = {20}^{2} \\ \\ 2 {a}^{2} = 400 \\ \\ {a}^{2} = 200 \\ \\ a = 10 \sqrt{2} \\ \\ \pink{a = {(10 \sqrt{2}) }^{2} }\\ \\ \huge \: a = 200$

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