Question

maria ran the 9 km race course around city park. how many km did maria run along lake lane? enter your answer. you may use the calculator tool in the menu. image of a triangular race course with start/finish, west road (1.8 km), south side drive (3.3 km), and lake lane labeled. maria ran? kilometers along lake lane.

Explanation:

Step1: Recall the perimeter formula

The perimeter of a triangle is the sum of all its sides. Let the length of Lake Lane be \(x\). The perimeter \(P = 1.8+3.3 + x\), and \(P = 9\) km.

Step2: Solve for \(x\)

Substitute into the formula: \(9=1.8 + 3.3+x\). First, calculate \(1.8+3.3=\frac{18}{10}+\frac{33}{10}=\frac{18 + 33}{10}=5.1\). Then, \(x=9 - 5.1\).

Answer:

\(3.9\)