What is the perimeter of an equilateral triangle if this perimeter is 4 times the perimeter
September 14, 2021 | education
| What is the perimeter of an equilateral triangle if this perimeter is 4 times the perimeter of a square with a side of 4 cm 5 mm?
The perimeter of a polygon is the sum of the lengths of all its sides.
Since an equilateral triangle has three sides and they are all the same length, its perimeter is:
Ptr. = a + a + a = 3 * a.
Since a square is a quadrangle with all sides equal, its perimeter is:
Pkv. = b + b + b + b = 4 * b.
Find the perimeter of a square with a side of 4 cm 5 mm:
Pkv. = 4 * 4 cm 5 mm = 4 * 4 cm + 4 * 5 mm = 16 cm 20 mm.
Since by condition Ptr. = 4 * Pkv., Then:
Ptr. = 4 * 16 cm 20 mm = 4 * 16 cm + 4 * 20 mm = 64 cm 80 mm.
Answer: 64 cm 80 mm.
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