Math Problem Statement

A rectangular field is 0.35 kilometers long and 0.3 kilometers wide. What is the area of the field in square meters? Do not round your answer.

Solution

The problem states that a rectangular field is 0.35 kilometers long and 0.3 kilometers wide, and you are asked to find the area in square meters without rounding.

Step-by-Step Solution:

  1. Convert the dimensions from kilometers to meters:

    • 1 kilometer (km) = 1000 meters (m).
    • Length: 0.35km=0.35×1000=350m0.35 \, \text{km} = 0.35 \times 1000 = 350 \, \text{m}.
    • Width: 0.3km=0.3×1000=300m0.3 \, \text{km} = 0.3 \times 1000 = 300 \, \text{m}.
  2. Calculate the area:

    • The area AA of a rectangle is given by: A=Length×WidthA = \text{Length} \times \text{Width} Substituting the converted values: A=350m×300m=105,000m2A = 350 \, \text{m} \times 300 \, \text{m} = 105,000 \, \text{m}^2

Final Answer:

The area of the field is 105,000 square meters.

Do you want more details on the conversions or calculations?

Here are 5 related questions to consider:

  1. What would be the area in hectares if 1 hectare = 10,000 square meters?
  2. How would you calculate the perimeter of the rectangular field?
  3. If the field was doubled in both length and width, what would the new area be?
  4. What would the area be in square kilometers?
  5. How does the area change if only the width is increased by 10%?

Tip: Always ensure you use the correct unit conversions, especially when dealing with large or small measurements like kilometers and meters.

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Math Problem Analysis

Mathematical Concepts

Area of rectangles
Unit conversion
Multiplication

Formulas

Area = Length × Width

Theorems

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Suitable Grade Level

Grade 6-8