CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A square is of area $$200\ sq.m.$$ A new square is formed in such a way that the length of its diagonal is $$\sqrt{2}$$ times of the diagonal of the given square. Then the area of the new square formed is 


A
2002 sq.m
loader
B
4002 sq.m
loader
C
400 sq.m
loader
D
800 sq.m
loader

Solution

The correct option is C $$400\ sq.m$$
According to question,

Side lenght  of square=$$\sqrt{200}=10\sqrt2m$$

So, lenght of its diagonal  $$=10\sqrt2\times \sqrt2=20m$$

Length of diagonal of new square $$=20\times \sqrt2m$$

So, side length of new square $$=\dfrac{20\sqrt2}{\sqrt2}=20m$$

Hence, area of new square  $$=20m\times20m=400m^2$$

Maths

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image