The perimeter of rectangle is 2600 centimeters, length(l) is and width(w) is .

First, unites changes from centimeters to meters.

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Therefore .

The perimeter formula for rectangle is .

Substitute the values of in the above formula.

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Apply division property of equality: If then .

Divide each side by 2.

Cancel common terms.

Group like terms.

Combine like terms.

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Apply addition property of equality: If then .

Add 3 to each side.

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Divide each side by 3.

Cancel common terms.

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Substitute the value of in the lengths and .

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The lengths of the rectangle are 8.3 m and 4.4 m.

The value of and the lengths of the rectangle are 8.3m feet, 4.4m.