ഒരു സമചതുരത്തിൻ്റെ വികർണ്ണത്തിൻ്റെ നീളം $15\sqrt{2} cm$ ആണ്. അതിന്റെ വിസ്തീർണ്ണം എത്രയാണ്?

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The length of diagonal of a square is

15\sqrt{2} cm

. Its area is

A112.5 sq.cm

B450 sq.cm

C $\frac{225\sqrt{2}}{2} sq.cm$

D225 sq.cm

Answer:

D. 225 sq.cm

Read Explanation:

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

$\sqrt{2}\times{side}=15\sqrt{2}$

=>Side=\frac{15\sqrt{2}}{\sqrt{2}}=15

Area of square $= (side)^2$

$=15\times{15}=225cm^2$

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