Question

Four corners of the 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 $54c{m}^2$. The area of the original square is ______.

• A. $54c{m}^2$
• B. $27c{m}^2$
• C. $312c{m}^2$
• D. $108c{m}^2$

Answer 1

The correct option is D

$108c{m}^2$

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 $54c{m}^2$.

$\Rightarrow$ The area of the original square is $108c{m}^2$.