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You have 28m of fencing to make a rectangular garden. What different sizes of rectangular gardens could you make with this fencing? Illustrate. What gardens could you not make? What is the largest garden you could makeI'll​

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MrRoyal

The area of a shape is the amount of space it occupies.

The largest garden you could make is 49 square meters

The perimeter is given as:

[tex]\mathbf{Perimeter = 28}[/tex]

This is calculated as:

[tex]\mathbf{2 \times (Length + Width) = 28}[/tex]

Divide by 2

[tex]\mathbf{Length + Width = 14}[/tex]

This means that, the sum of the dimensions must equal 14.

So, the possible dimensions are:

  • 1 by 13 meters
  • 2 by 12 meters
  • 3 by 11 meters
  • 4 by 10 meters
  • 5 by 9 meters
  • 6 by 8 meters
  • 7 by 7 meters

The garden with the largest dimension is: 7 by 7 meters.

So, the area of garden is:

[tex]\mathbf{Area = 7m \times 7m}[/tex]

[tex]\mathbf{Area = 49m^2}[/tex]

The largest garden you could make is 49 square meters

Read more about areas at:

https://brainly.com/question/20898622

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