Question

Two lines are drawn parallel to the diagonal of a square of area $25c{m}^2$ as shown in the first figure. Another set of parallel lines are drawn along the second diagonal to form a larger square as shown in the second figure, then the area of the larger square is _____.

• A. $50c{m}^2$
• B. $25c{m}^2$
• C. $12.5c{m}^2$
• D. $75c{m}^2$

Answer 1

The correct option is A

$50c{m}^2$

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.

$\Rightarrow$ The area of the larger square is $50c{m}^2$.