1. **State the problem:** We have a rectangular paper folded along its diagonal AB. The ratio of the area of Figure 2 (shaded part) to Figure 1 (remaining part) is 4:7. The shaded area is 24 cm². We need to find the total area of the rectangle (Figure 1). 2. **Understand the ratio and areas:** Let the total area of the rectangle be $A$. The shaded area corresponds to Figure 2, and the rest corresponds to Figure 1. 3. **Express areas using the ratio:** The ratio of shaded to unshaded areas is 4:7, so: $$\frac{\text{shaded area}}{\text{unshaded area}} = \frac{4}{7}$$ 4. **Let the shaded area be $4x$ and unshaded area be $7x$:** Since shaded area is 24 cm², we have: $$4x = 24 \implies x = 6$$ 5. **Calculate the total area:** Total area $A = 4x + 7x = 11x = 11 \times 6 = 66$ cm². 6. **Answer:** The area of the rectangular paper in Figure 1 is **66 cm²**. --- **P6 method explanation:** - **P6 method** refers to a problem-solving approach involving **P**lan, **P**erform, **P**rove, **P**resent, **P**ractice, and **P**erfect. - Here, we planned by identifying knowns and unknowns. - Performed calculations using ratios and algebra. - Proved by verifying the ratio holds with the found total area. - Presented the solution clearly. - Practice and perfect would involve solving similar problems to reinforce understanding.