Question

1. find the value of x if the perimeter is 35:

Explanation:

Step1: Set up the perimeter equation

The perimeter of a triangle is the sum of its side lengths. So, \(x+(x + 5)+(2x+1)=35\).

Step2: Simplify the left - hand side

Combine like terms: \((x+x+2x)+(5 + 1)=35\), which gives \(4x+6=35\).

Step3: Solve for \(x\)

Subtract 6 from both sides: \(4x=35 - 6\), so \(4x=29\). Then divide both sides by 4: \(x=\frac{29}{4}=7\).

Answer:

\(x = 7\)