Find the cost of carpeting the following rectangular rooms. a. Dimensions: 8.5 m by $$ 4.5 \mathrm{~m} ; $$ cost $$ =\$ 13.04 / \mathrm{m}^{2} $$ b. Dimensions: 15 yd by $$ 13 \mathrm{yd} ; \mathrm{cost}=\$ 25 / \mathrm{yd}^{2} $$ a. The total cost of carpeting the room is $$ \$ \square $$. (Type an integer or a decimal. Round to the nearest cent as needed.) b. The total cost of carpeting the room is $$ \$ \square $$. (Type an integer or a decimal. Round to the nearest cent as needed.)

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To find the cost of carpeting each room, we first need to calculate the area of each room and then multiply that by the cost per square unit.

### Part a:
**Dimensions:** 8.5 m by 4.5 m  
**Cost:** \$13.04/m²

1. Calculate the area:
   $$
   \text{Area} = 8.5 \, \text{m} \times 4.5 \, \text{m} = 38.25 \, \text{m}^2
   $$

2. Calculate the total cost:
   $$
   \text{Total Cost} = \text{Area} \times \text{Cost per m}^2 = 38.25 \, \text{m}^2 \times 13.04 \, \text{\$}/\text{m}^2 = 498.54 \, \text{\$}
   $$

So, the total cost of carpeting the room is **\$498.54**.

### Part b:
**Dimensions:** 15 yd by 13 yd  
**Cost:** \$25/yd²

1. Calculate the area:
   $$
   \text{Area} = 15 \, \text{yd} \times 13 \, \text{yd} = 195 \, \text{yd}^2
   $$

2. Calculate the total cost:
   $$
   \text{Total Cost} = \text{Area} \times \text{Cost per yd}^2 = 195 \, \text{yd}^2 \times 25 \, \text{\$}/\text{yd}^2 = 4875 \, \text{\$}
   $$

So, the total cost of carpeting the room is **\$4875.00**.

### Summary:
a. The total cost of carpeting the room is **\$498.54**.  
b. The total cost of carpeting the room is **\$4875.00**.
a. The total cost of carpeting the room is **\$498.54**. b. The total cost of carpeting the room is **\$4875.00**.

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