Problema Solution
a triangles perimeter is equal to the perimeter of a square. the triangle has a side that is 4x-3. another side is 3x and the other is 16. the square has two sides that are 2x. what is the length of a side of the square.
Answer provided by our tutors
the triangle has a side that is 4x-3. another side is 3x and the other is 16 thus the perimeter of the triangle is
P1 = 4x - 3 + 3x + 16 = 7x + 13
the square has two sides that are 2x thus the perimeter of the square is
P2 = 4*2x = 8x
a triangles perimeter is equal to the perimeter of a square
P1 = P2
7x + 13 = 8x
by solving we find
x = 13
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the length of the side of the square is 2x = 2*13 = 26.