The function $P(s) = 3s$ gives the perimeter of an equilateral triangle of side length $s$. a. We need to interpret the meaning of $P(s) = 60$ in this context. b. We need to find the value of $s$ that makes $P(s) = 60$ true.

AlgebraPerimeterEquationsSolving EquationsLinear EquationsGeometryEquilateral Triangle
2025/4/24

1. Problem Description

The function P(s)=3sP(s) = 3s gives the perimeter of an equilateral triangle of side length ss.
a. We need to interpret the meaning of P(s)=60P(s) = 60 in this context.
b. We need to find the value of ss that makes P(s)=60P(s) = 60 true.

2. Solution Steps

a. P(s)=60P(s) = 60 means that the perimeter of the equilateral triangle is
6
0.
b. We are given that P(s)=3sP(s) = 3s. We are asked to find the value of ss for which P(s)=60P(s) = 60.
We can set up the equation 3s=603s = 60.
To solve for ss, we divide both sides of the equation by 3:
s=603s = \frac{60}{3}
s=20s = 20

3. Final Answer

a. P(s)=60P(s) = 60 means that the perimeter of the equilateral triangle is
6

0. b. The value of $s$ that makes $P(s) = 60$ true is $s = 20$.

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