Questions: A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer. m^2 Conversion facts for length 1000 millimeters (mm) = 1 meter (m)

A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer.
m^2
Conversion facts for length
1000 millimeters (mm) = 1 meter (m)
Transcript text: A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer. $\square$ $\mathrm{m}^{2}$ \begin{tabular}{|r|} \hline Conversion facts for length \\ \hline 1000 millimeters $(\mathrm{mm})$ \end{tabular}$=1$ meter $(\mathrm{m})$
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Solution

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Solution Steps

Step 1: Convert Kilometers to Meters

The dimensions of the rectangular field are given in kilometers. To find the area in square meters, we first need to convert these dimensions to meters.

1 kilometer is equal to 1000 meters. Therefore:

  • Length in meters: \(0.45 \, \text{km} = 0.45 \times 1000 = 450 \, \text{m}\)
  • Width in meters: \(0.4 \, \text{km} = 0.4 \times 1000 = 400 \, \text{m}\)
Step 2: Calculate the Area in Square Meters

The area \(A\) of a rectangle is calculated using the formula:

\[ A = \text{length} \times \text{width} \]

Substituting the converted dimensions:

\[ A = 450 \, \text{m} \times 400 \, \text{m} = 180000 \, \text{m}^2 \]

Final Answer

The area of the field in square meters is \(\boxed{180000 \, \text{m}^2}\).

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