The perimeter of the rectangle is 20 cm. Find the length of the rectangle if it is 2 cm longer than its width.

This problem can be solved using an equation. To compose the equation, we need to designate the unknowns. The first unknown width of the rectangle will be designated as X. The second unknown length of the rectangle will be designated as (2 + X), according to the condition of the problem, the length is 2 cm longer. The perimeter is the sum of all the sides of the rectangle.

Let’s make the equations.

X + X + (2 + X) + (2 + X) = 20.

4 * X + 4 = 20.

4 * X = 20 – 4.

4 * X = 16.

X = 16: 4.

X = 4 cm. Width of the rectangle.

X +2 = 4 + 2 = 6 cm. Length of the rectangle.

Answer: the length of the rectangle is 6 cm.



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