Question

the perimeter of triangle pqr is 55 units.
what is the length of side \\( \overline { q r } \\)?
a 6 units
b 8 units
c 10 units
d 18 units

Explanation:

Step1: Set up the perimeter equation

The perimeter of a triangle is the sum of its sides. So, \(x+(2x + 4)+(3x + 3)=55\).

Step2: Simplify the left - hand side

Combine like terms: \((x+2x+3x)+(4 + 3)=55\), which gives \(6x+7 = 55\).

Step3: Solve for \(x\)

Subtract 7 from both sides: \(6x=55 - 7=48\). Then divide by 6: \(x=\frac{48}{6}=8\).

Answer:

B. 8 units