A kitchen has a tabletop that is a rectangle 22 in long and 14in wide.
Kira is an interior designer and wants to cover the tabletop in small tiles.
She knows the area each bag of tiles covers, but only in square centimeters.
(a)	Find the area of the tabletop in square centimeters. Do not round intermediate computations and round your final answer to two decimal places. Use the table of conversion facts, as needed.

(b)	The designer wants to cover the tabletop with tiles. She doesn't have any to begin with and she can't buy partial bags of tiles. Each bag of tiles covers 221 cm(2) . How many whole bags of tiles does the designer need to buy to completely cover the tabletop?

(c)	If each bag of tiles costs $2.59 , how much will she need to spend on tile? Write your answer to the nearest cent.

Let's break down each part of the problem step by step:

### Part (a): Find the area of the tabletop in square centimeters.

First, we know the dimensions of the tabletop are:
- Length = 22 inches
- Width = 14 inches

To find the area in square inches:
\[
\text{Area (square inches)} = \text{Length} \times \text{Width} = 22 \, \text{inches} \times 14 \, \text{inches} = 308 \, \text{square inches}
\]

Next, we need to convert square inches to square centimeters. We use the conversion factor:
\[
1 \, \text{inch} = 2.54 \, \text{cm}, \quad \text{so} \quad 1 \, \text{square inch} = (2.54)^2 \, \text{square centimeters} = 6.4516 \, \text{cm}^2
\]

Now, we can convert the area from square inches to square centimeters:
\[
\text{Area (square cm)} = 308 \, \text{square inches} \times 6.4516 \, \text{cm}^2/\text{square inch} = 1986.69 \, \text{cm}^2
\]

Thus, the area of the tabletop is approximately $ 1986.69 \, \text{cm}^2 $.

### Part (b): How many bags of tiles does the designer need?

Each bag of tiles covers 221 square centimeters. To find how many whole bags are needed, we divide the total area of the tabletop by the coverage of one bag:
\[
\text{Number of bags} = \frac{1986.69 \, \text{cm}^2}{221 \, \text{cm}^2/\text{bag}} = 8.99
\]

Since the designer cannot buy partial bags, she will need to round up to the next whole number. So, she will need 9 bags of tiles.

### Part (c): How much will the tiles cost?

Each bag costs $2.59. If she needs 9 bags, the total cost will be:
\[
\text{Total cost} = 9 \, \text{bags} \times 2.59 \, \text{dollars/bag} = 23.31 \, \text{dollars}
\]

Thus, the total cost of the tiles will be **$23.31**.

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Would you like more details or have any questions?

Here are some related questions to further your understanding:
1. What would be the area of the tabletop if its dimensions were given in centimeters?
2. How much would the designer save if the price per bag was reduced by $0.50?
3. If the coverage of each bag increased to 250 cm², how many bags would she need to buy?
4. What would the area of the tabletop be in square meters?
5. How would the calculations change if the tabletop were circular with a diameter of 22 inches?

**Tip:** Always remember to keep track of your units, especially when converting between different measurement systems like inches and centimeters.

A kitchen has a tabletop that is a rectangle 22 in long and 14 in wide. Kira is an interior designer and wants to cover the tabletop in small tiles. She knows the area each bag of tiles covers, but only in square centimeters. (a) Find the area of the tabletop in square centimeters. Do not round intermediate computations and round your final answer to two decimal places. Use the table of conversion facts, as needed. (b) The designer wants to cover the tabletop with tiles. She doesn't have any to begin with and she can't buy partial bags of tiles. Each bag of tiles covers 221 cm(2). How many whole bags of tiles does the designer need to buy to completely cover the tabletop? (c) If each bag of tiles costs $2.59, how much will she need to spend on tile? Write your answer to the nearest cent.

Learn how to calculate the area of a 22-inch by 14-inch tabletop in square centimeters, determine how many bags of tiles are needed to cover it, and calculate the total cost of the tiles. This guide includes area calculation, unit conversion from inches to centimeters, and rounding to the nearest cent. Suitable for students in Grades 6-8.

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