Consider the following statements in respect of a rectangular sheet of length 20 cm and breadth 8 cm :
1. It is possible to cut the sheet exactly into 4 square sheets.
2. It is possible to cut the sheet into 10 triangular sheets of equal area.
Which of the above statements is/are correct?

Correct Answer: (C) Both 1 and 2

The rectangular sheet of $20$$\text{ cm}$ $\times$ 8$\text{ cm}$ has an area of $160$$\text{ cm}$^2. In Statement 1, the sheet can be cut into two squares of $8$$\text{ cm}$ $\times$ 8$\text{ cm}$ (leaving an area of $4$$\text{ cm}$ $\times$ 8$\text{ cm}$) and the remaining piece cut into two squares of $4$$\text{ cm}$ $\times$ 4$\text{ cm}$, producing exactly 4 square sheets (Statement 1 is correct). In Statement 2, dividing the 20 cm length into five 4 cm strips yields five $4$$\text{ cm}$ $\times$ 8$\text{ cm}$ rectangles, and drawing a diagonal through each creates $5$$\times$ 2 = 10 right triangles of equal area $16$$\text{ cm}$^2 (Statement 2 is correct).