Question

Two lines are drawn parallel to the diagonal of a square as shown in the first figure. Another set of parallel lines are drawn along the second diagonal to form a larger square of the area $61c{m}^2$ as shown in the second figure, then the area of the original square is

• A. $61c{m}^2$
• B. $30c{m}^2$
• C. $30.5c{m}^2$
• D. $122c{m}^2$

Answer 1

The correct option is C

$30.5c{m}^2$

Two lines are drawn parallel to the diagonal of a square and another set of parallel lines are drawn along the second diagonal to form a larger square,

Then the area of the larger square is double the area of the original square.

Given that the area of the larger square is $61c{m}^2$

$\Rightarrow$ The area of the original square is $30.5c{m}^2$