Question

A square has side 4 cm. Another square is obtained by doubling the sides of the first square. What is the ratio between the areas of the first and the second square?

• A. 1:2
• B. 1:4
• C. 3:4
• D. 3:8

Answer 1

The correct option is B 1:4

Area of first square
$=4cm\times 4cm=16c{m}^2$

Side of second square
$=2\times 4cm=8cm$

$\therefore$ Area of second square
$=8cm\times 8cm=64c{m}^2$

The ratio $=16:64=1:4$