Question

find the value of z.
perimeter = 147 meters
z = meters

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \( P \) of a triangle is \( P=a + b+ c\), where \(a\), \(b\), and \(c\) are the side - lengths of the triangle. Let \(a = z\), \(b = 49\), \(c = 49\), and \(P=147\). Then the equation is \(z + 49+49=147\).

Step2: Simplify the left - hand side of the equation

\(z+(49 + 49)=z + 98\). So the equation becomes \(z + 98=147\).

Step3: Solve for \(z\)

Subtract 98 from both sides of the equation. Using the subtraction property of equality: \(z+98 - 98=147 - 98\).

Answer:

\(z = 49\) meters