Question

if the perimeter of this triangle is 224 cm, form an equation in terms of x and solve for the unknown. 11x - 11 10x + 14 6x + 5

Explanation:

Step1: Form the equation

The perimeter of a triangle is the sum of its three sides. So, we have \((6x + 5)+(11x - 11)+(10x + 14)=224\).
Simplify the left - hand side:

$$
LATEXBLOCK0
$$

Step2: Solve the equation for \(x\)

Subtract \(8\) from both sides of the equation \(27x+8 = 224\):
\(27x+8-8=224 - 8\), which gives \(27x=216\).
Divide both sides by \(27\): \(x=\frac{216}{27}\).

Answer:

\(x = 8\)