A piece of string is 30 cm long. What will be the length of each side if the string is used to form: |
(a) a square? |
(b) an equilateral triangle? |
(c) a regular hexagon? |
Answer:
(a) Perimeter of a square = length of the string = 30 cm A square has 4 equal sides, so we can divide the perimeter by 4 to get the length of one side One side of the square \[=30\text{ }cm\div 4\] \[=7.5\text{ }cm\] (b) Perimeter of an equilateral triangle = length of the string = 30 cm An equilateral triangle has 3 equal sides so we can divide the perimeter by 3 to get the length of one side. \[\therefore \] One side of an equilateral \[=30\text{ }cm\div 3\] \[=10\text{ }cm\] (c) Perimeter of a regular hexagon = length of the string = 30 cm A regular hexagon has 6 equal sides, so we can divide the perimeter by 6 to get the length of one side. One side of a regular hexagon \[=30\text{ }cm\div 6=5\text{ }cm\]
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