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?

March 17, 2026Mathematics

ScanSolve AI Answer

March 17, 2026

Answer

8 cm

Step 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 = \frac{80 cm}{2} = 40 cm

Step 2: Determine the number of sides on one figure.

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

Let $s$ be the length of one side in cm.

Perimeter of one figure = 5s = 40 cm

Step 3: Solve for $s$ .

s = \frac{40 cm}{5} = 8 cm

The length of one side is 8 cm.

8 cm

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Find the perimeter of one figure. The two figures are identical, so each has the same perimeter.

Asked on March 17, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 17, 2026

Step 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 Step 2: Determine the number of sides on one figure. From the figure, one figure has 5 sides, all of equal length. Let s be the length of one side in cm. Perimeter of one figure = 5s = 40 cm Step 3: Solve for s. s = 40 cm5 = 8 cm The length of one side is 8 cm. 8 cm