Question

he diagonals of 2 squares M and N are in the ratio 2 ∶ 1.

The ratio of their areas is

A. 1 ∶ 2

B. 2 ∶ 1

C. 1 ∶ 4

D. 4 ∶ 1

• A. C
• B. A
• C. D
• D. B

Answer 1

Answer:

C. D

As we know,

Area of square $=\frac{(diagonal)^2}{2}$

Ratio of diagonal of two square = 2 : 1

Ratio of area of two square $=\frac{(2)^2}{2} :\frac{1^2}{2}$

$=\frac{4}{2}$:$\frac{1}{2}$ = 4 : 1