Math Problem Statement

What is the area of Danielle's bedroom ceiling, given the ceiling dimensions are 13.5 feet by 9 feet?

Solution

To calculate the area of Danielle's bedroom ceiling, we use the formula for the area of a rectangle:

Area=Length×Width\text{Area} = \text{Length} \times \text{Width}

From the image:

  • The length (ll) is 13.5feet13.5 \, \text{feet},
  • The width (ww) is 9feet9 \, \text{feet}.

Substituting these values:

Area=13.5×9=121.5square feet.\text{Area} = 13.5 \times 9 = 121.5 \, \text{square feet}.

Final Answer:

The area of Danielle's bedroom ceiling is 121.5 square feet.

Would you like further explanations or have any additional questions?


Related Questions:

  1. How would you calculate the perimeter of Danielle's ceiling?
  2. What unit conversions would you use to find the area in square meters?
  3. How does the area change if the length is increased by 10%?
  4. If Danielle decides to add borders of 1 foot width around the ceiling, how would the new area be calculated?
  5. How would you calculate the cost if the paint costs $2 per square foot?

Tip:

When working with dimensions involving decimals, double-check calculations to avoid rounding errors!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle

Formulas

Area = Length × Width

Theorems

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Suitable Grade Level

Grades 5-7