Math Problem Statement

solve

A science fair poster is a rectangle 36 in long and 24 in wide. Some of the entry rules for the fair refer to the area of the poster in square feet. Use the facts to find its area in square feet.

Solution

To find the area of the poster in square feet:

  1. The poster dimensions are given as:

    • Length = 36 inches
    • Width = 24 inches
  2. First, convert these measurements to feet, as 1 foot = 12 inches:

    • Length in feet: 36inches÷12=3feet36 \, \text{inches} \div 12 = 3 \, \text{feet}
    • Width in feet: 24inches÷12=2feet24 \, \text{inches} \div 12 = 2 \, \text{feet}
  3. Now, calculate the area in square feet: Area=Length×Width=3feet×2feet=6square feet\text{Area} = \text{Length} \times \text{Width} = 3 \, \text{feet} \times 2 \, \text{feet} = 6 \, \text{square feet}

So, the area of the poster is 6 square feet.

Would you like more details, or have any questions?


Here are some related questions you might find useful:

  1. How would the area change if the poster was measured in square inches?
  2. What would the area be if the dimensions were doubled?
  3. How can we convert the area from square feet to square yards?
  4. What are some examples of other customary units for measuring area?
  5. How does understanding conversions between units help in real-world situations?

Tip: When working with units, always ensure they match before performing calculations to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Area Calculation
Rectangles

Formulas

Area of rectangle = Length × Width

Theorems

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Suitable Grade Level

Grades 6-8