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The perimeter of a triangular park is 16x+3. If one side is 2x+5 and the second side is 5x-1. What is the expression for the third side?

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Final answer:

To calculate the expression for the third side of the triangular park, subtract the given sides from the total perimeter, resulting in the expression 9x - 1.

Step-by-step explanation:

The expression for the third side of the triangular park can be found by knowing that the perimeter of a triangle is the sum of its three sides. We are given the perimeter as 16x+3 and two of the sides as 2x+5 and 5x-1. To find the third side, you subtract the lengths of the known sides from the total perimeter.

Therefore, the third side (let's call it S) can be calculated as follows:

Perimeter = First Side + Second Side + Third Side

16x + 3 = (2x + 5) + (5x - 1) + S

16x + 3 = 7x + 4 + S

S = 16x + 3 - 7x - 4

S = 9x - 1

This means the expression for the third side is 9x - 1.

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