A rectangular field is 50 meters wide and 90 meters long. Give the length and Width of another field that had the same perimeter but a smaller area.

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28-10-2022
Mathematics

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A rectangular field is 50 meters wide and 90 meters long. Give the length and Width of another field that had the same perimeter but a smaller area.

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ErandyU357998 ErandyU357998 · Answer 1 · 2022-10-28T11:31:16+02:00

Step 1: Find the Area of the given rectangle

[tex]\begin{gathered} A_{\text{rectangle}}=\text{length }\times width \\ \text{length}=90m;\text{ width= 50m} \\ A_{\text{rectangle}}=90m\times50m \\ =4500m^2 \end{gathered}[/tex]

Step 2: Randomly give length and width that will have the same perimeter but a smaller area

[tex]\text{Let the new length be 100m and width be 40m}[/tex][tex]\begin{gathered} A_{\text{rectangle}}=100m\times40m \\ =4000m^2 \end{gathered}[/tex]

Hence, the given new dimension is 40m wide and 100m long