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There are two identical figures with all sides of equal length. The combined perimeter of the figures is 80 centimeters. What is the length of one side?

Mathematics

ScanSolve AI Answer

Answer

8 cm

Step-by-step solution

3 steps
  1. Find the perimeter of one figure.

    The two figures are identical, so each has the same perimeter.

    Combined perimeter = 80 cm.

    Perimeter of one figure=80 cm2=40 cm\text{Perimeter of one figure} = \frac{80 \text{ cm}}{2} = 40 \text{ cm}
  2. Determine the number of sides on one figure.

    From the figure, one figure has 5 sides, all of equal length.

    Let ss be the length of one side in cm.

    Perimeter of one figure=5s=40 cm\text{Perimeter of one figure} = 5s = 40 \text{ cm}
  3. Solve for ss.

    s=40 cm5=8 cms = \frac{40 \text{ cm}}{5} = 8 \text{ cm}

    The length of one side is 8 cm.

    8 cm

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