Wood Dawson
08/01/2023 · Middle School
Simphiwe is a farmer, She has a square field with sides of 45 m . She plants eight maize plants in every \( \mathrm{m}^{2} \). How many malze plants does she plant?
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Step-by-step Solution
To find out how many maize plants Simphiwe plants in her square field, we first need to calculate the area of the field.
The area \( A \) of a square is given by the formula:
\[
A = \text{side}^2
\]
Given that the side of the field is 45 m, we can calculate the area as follows:
\[
A = 45 \, \text{m} \times 45 \, \text{m} = 2025 \, \text{m}^2
\]
Next, we know that Simphiwe plants 8 maize plants in every \( \mathrm{m}^2 \). To find the total number of maize plants, we multiply the area of the field by the number of plants per square meter:
\[
\text{Total maize plants} = A \times \text{plants per } \mathrm{m}^2 = 2025 \, \mathrm{m}^2 \times 8 \, \text{plants/m}^2
\]
Calculating this gives:
\[
\text{Total maize plants} = 2025 \times 8 = 16200
\]
Therefore, Simphiwe plants a total of **16,200 maize plants**.
Quick Answer
Simphiwe plants 16,200 maize plants.
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