https://file.aiquickdraw.com/mathbot/file/1727073291794d8vlf3pm.jpg

Let's go through the steps one by one.

### Problem (a): 
The area of the tabletop is a rectangle with dimensions 91 cm by 61 cm. We need to convert this area into square inches.

1. Convert the dimensions from centimeters to inches using the conversion $1 \, \text{inch} = 2.54 \, \text{cm}$.
   \[
   91 \, \text{cm} = \frac{91}{2.54} \, \text{in} \approx 35.83 \, \text{in}
   \]
   \[
   61 \, \text{cm} = \frac{61}{2.54} \, \text{in} \approx 24.02 \, \text{in}
   \]
   
2. Find the area in square inches by multiplying the length and width:
   \[
   \text{Area} = 35.83 \, \text{in} \times 24.02 \, \text{in} \approx 860.38 \, \text{in}^2
   \]
   
Thus, the area of the tabletop is approximately **860.38 square inches**.

### Problem (b):
Each bag of tiles covers 64 square inches, and the area of the tabletop is 860.38 square inches. We need to calculate how many whole bags of tiles are needed.

1. Divide the area of the tabletop by the area one bag of tiles covers:
   \[
   \text{Bags needed} = \frac{860.38}{64} \approx 13.44
   \]
   
Since the designer cannot buy partial bags, she will need to buy **14 bags**.

### Problem (c):
Each bag of tiles costs $4.23, and we need 14 bags.

1. Multiply the cost per bag by the number of bags:
   \[
   \text{Total cost} = 14 \times 4.23 = 59.22
   \]
   
Thus, the designer will need to spend **$59.22** on the tiles.

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Would you like more details on any of these steps, or have any questions?

Here are 5 related questions for further practice:
1. How would the calculations change if the dimensions were given in meters instead of centimeters?
2. What would the total cost be if each bag of tiles cost $5.50?
3. If the designer finds a discount of 10% on each bag, how much would she save?
4. How many bags would be needed if the tabletop was 120 cm by 80 cm?
5. What if the designer decides to use larger tiles that cover 80 square inches per bag?

**Tip**: When converting units, always check if you are converting linearly (e.g., cm to in) or dealing with area (e.g., cm² to in²).

A kitchen has a tabletop that is a rectangle 91 cm long and 61 cm wide. Mai wants to cover the tabletop in small tiles. She knows the area each bag of tiles covers, but only in square inches. (a) Find the area of the tabletop in square inches. (b) How many whole bags of tiles does she need to buy? (c) If each bag of tiles costs $4.23, how much will she need to spend on tile?

Learn how to convert the dimensions of a rectangular tabletop from centimeters to square inches and calculate the number of tile bags needed to cover it. This problem includes unit conversion, area calculations, and basic cost analysis. Suitable for middle and high school students.

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