Math Problem Statement

Jenna’s bedroom is 12’ x 14’. She has chosen her carpet which costs $32.30 per square yard. This includes installation. Determine her cost to carpet her room.

Solution

To determine the cost of carpeting Jenna's bedroom, we'll follow the same steps as before:

  1. Calculate the area of the bedroom in square feet: Area=Length×Width=12×14=168 square feet\text{Area} = \text{Length} \times \text{Width} = 12' \times 14' = 168 \text{ square feet}

  2. Convert the area from square feet to square yards:

    There are 9 square feet in 1 square yard.

    Area in square yards=168 square feet9 square feet per square yard=18.67 square yards\text{Area in square yards} = \frac{168 \text{ square feet}}{9 \text{ square feet per square yard}} = 18.67 \text{ square yards}

  3. Calculate the total cost: Total cost=Area in square yards×Cost per square yard\text{Total cost} = \text{Area in square yards} \times \text{Cost per square yard} Total cost=18.67 square yards×$32.30 per square yard=$603.061\text{Total cost} = 18.67 \text{ square yards} \times \$32.30 \text{ per square yard} = \$603.061

    Rounding to the nearest cent, the total cost is approximately $603.06.

Do you have any questions or need more details?

Here are some related questions:

  1. How would the cost change if the carpet price was $35 per square yard?
  2. What is the cost if Jenna's room was 14 feet by 16 feet?
  3. How would the cost be affected if there was an additional charge for installation?
  4. How does the shape of the room affect the total carpet cost?
  5. What if Jenna had to carpet multiple rooms with different dimensions? How would you calculate the total cost?

Tip: Always ensure you measure the room dimensions accurately before calculating the area, as small errors can lead to significant cost differences.

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Math Problem Analysis

Mathematical Concepts

Geometry
Unit Conversion
Cost Calculation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8