Answer:
Equilateral triangle: 40 cm
Regular hexagon: 20 cm
Square: 30 cm
Regular pentagon: 24 cm
Step-by-step explanation:
The three questions all ask the length of each side of the referenced shape. Use the relation for perimeter for each:
1. A equilateral triangle
2. A regular hexagon [and 20 cm long?],
3. The length of a square
4. A regular pentagon
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Let's solve each question step by step:
For an equilateral triangle, all three sides are equal in length. If the total length of all three sides is 120 cm, then each side would be 120 cm divided by 3, which equals 40 cm. So, each side of the equilateral triangle would be 40 cm long.
For a regular hexagon, all six sides are equal in length. If the total length of all six sides is 120 cm, then each side would be 120 cm divided by 6, which equals 20 cm. So, each side of the regular hexagon would be 20 cm long.
For a square, all four sides are equal in length. Since the total length of all four sides is given as 120 cm, each side would be 120 cm divided by 4, which equals 30 cm. So, each side of the square would be 30 cm long.
For a regular pentagon, all five sides are equal in length. Since the total length of all five sides is given as 120 cm, each side would be 120 cm divided by 5, which equals 24 cm. So, each side of the regular pentagon would be 24 cm long.
Therefore, the lengths of each side for the given shapes are:
Equilateral triangle: 40 cm
Regular hexagon: 20 cm
Square: 30 cm
Regular pentagon: 24 cm
