Question

The area of the square drawn on the diagonal of a square of $B^{\ast }$ side 3 cm is

• A. 21 $c{m}^2$
• B. 20 $c{m}^2$
• C. 19 $c{m}^2$
• D. 18 $c{m}^2$

Answer 1

The correct option is D 18 $c{m}^2$

Given the side of square is 3 cm

Then Diagonal B is

$B^2=2(side{)}^2\Rightarrow B^2=2(3{)}^2\Rightarrow B=3\sqrt{2}cm$

So area of square of diagonal B =$(3\sqrt{2}{)}^2=18c{m}^2$