1. **Problem statement:** We have a triangular dog house with sides in the ratio 2:2:1, where the shortest side is 1 meter (100 cm). The toy storage area is a smaller triangle on top with a base of 25 cm parallel to the floor. We need to find the lengths of the two sides of the storage area, labeled $x$ and $y$. 2. **Understanding the problem:** The large triangle has sides in ratio 2:2:1, so the two equal sides are each twice the shortest side. Since the shortest side is 100 cm, the other two sides are each $2 \times 100 = 200$ cm. 3. **Key idea:** The toy storage area is a smaller triangle similar to the large triangle because its base is parallel to the floor, so the smaller triangle is a scaled-down version of the larger one. 4. **Similarity ratio:** The base of the smaller triangle is 25 cm, and the base of the large triangle is 100 cm. The scale factor from the large triangle to the small triangle is $$\text{scale} = \frac{25}{100} = \frac{1}{4}.$$ 5. **Finding $x$ and $y$:** Since the triangles are similar, the sides $x$ and $y$ of the smaller triangle are each $\frac{1}{4}$ of the corresponding sides of the large triangle: $$x = \frac{1}{4} \times 200 = 50 \text{ cm},$$ $$y = \frac{1}{4} \times 200 = 50 \text{ cm}.$$ 6. **Final answer:** The lengths of the two sides of the storage area are $x = 50$ cm and $y = 50$ cm.