Question

Four corners of a square are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square of the area $14.5c{m}^2$. The area of the original square is _____.

• A. $14.5c{m}^2$
• B. $29c{m}^2$
• C. $43.5c{m}^2$
• D. $7.25c{m}^2$

Answer 1

The correct option is B

$29c{m}^2$

Four corners of the square are folded and it is unfolded to cut along the creases to get a new square.

Then the area of the new square is half the area of the original square

Given that the area of the new square is $14.5c{m}^2$

$\Rightarrow$ The area of the original square is $29c{m}^2$.