Question4. The ratio of the corresponding side lengths of two similar rectangular tables is $4: 5$. a. What is the ratio of the perimeters? b. What is the ratio of the areas? c. The perimeter of the larger table is 44 feet. What is the perimeter of the smaller table?

Studdy Solution
To find the perimeter of the smaller table, use the ratio of the perimeters:
Let $P_s$ be the perimeter of the smaller table. Then:
$$\frac{P_s}{44} = \frac{4}{5}$$
Solve for $P_s$:
$$P_s = \frac{4}{5} \times 44$$
$$P_s = \frac{176}{5}$$
$$P_s = 35.2 \text{ feet}$$
The solutions are: a. The ratio of the perimeters is $4:5$. b. The ratio of the areas is $16:25$. c. The perimeter of the smaller table is $35.2 \text{ feet}$.