Math Problem Statement

Find the area of a rectangle in square feet that has a length of 5 feet and a width of 30 inches.

Solution

To calculate the area of the rectangle, we first need to ensure all measurements are in the same unit. Since the length is already in feet, we'll convert the width from inches to feet:

Conversion:

1 foot = 12 inches.
So, 30inches=3012feet=2.5feet30 \, \text{inches} = \frac{30}{12} \, \text{feet} = 2.5 \, \text{feet}.

Area of a Rectangle Formula:

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

Substituting Values:

Area=5feet×2.5feet=12.5square feet\text{Area} = 5 \, \text{feet} \times 2.5 \, \text{feet} = 12.5 \, \text{square feet}

Final Answer:

The area of the rectangle is 12.5 square feet.

Would you like further details or have any questions?
Here are 5 related questions to expand your understanding:

  1. How would the area change if the length was doubled?
  2. What would be the area if both dimensions were given in inches?
  3. How do you calculate the perimeter of a rectangle?
  4. What happens to the area if both the length and width are increased by 50%?
  5. How do you convert square feet to square meters?

Tip: Always ensure measurements are in the same unit before performing area calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Unit Conversion
Area Calculation

Formulas

Area of a rectangle = Length × Width

Theorems

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Suitable Grade Level

Grades 5-7