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 $100c{m}^2$ as shown in the second figure, then find the area of the original square.

• A. $75c{m}^2$
• B. $100c{m}^2$
• C. $50c{m}^2$
• D. $25c{m}^2$

Answer 1

The correct option is C

$50c{m}^2$

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.

Given that the area of the larger square is $100c{m}^2.$

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