Question

What will be the ratio of the areas of square, when the diagonal of one square is double to that of the other.

• A. $1:4$
• B. $3:1$
• C. $5:1$
• D. $4:1$

Answer 1

Answer: (A)

$1:4$

Area of one square$=A_1$, diagonal $=d$

area of second square $=A_2$, diagonal $=2d$

ratio$=\frac{A_1}{A_2}=\frac{\left(d^2/2\right)}{(2d{)}^2/2}$

$=\frac{\left(1/2\right)}{\left(4/2\right)}$

$=\frac{1}{4}$