Question 10
A square cloth has one corner folded in as shown. The original square’s area and the remaining area after folding are consecutive even natural numbers. Find the original area, in $\mathrm{cm}^2$.
Practice clarification: the crease joins the midpoints of two adjacent sides, and the folded corner reaches the square’s centre. The remaining area is the visible footprint, with the overlap counted once.
Practice clarification: the crease joins the midpoints of two adjacent sides, and the folded corner reaches the square’s centre. The remaining area is the visible footprint, with the overlap counted once.