Question

find the value of y.

perimeter = 34.2 yards

y = \boxed{} yards

Explanation:

Step1: Recall the perimeter formula for a triangle

The perimeter \( P \) of a triangle is the sum of its three sides. So, if the sides are \( y \), \( 10.1 \) yd, and \( 14 \) yd, then \( P = y + 10.1 + 14 \).

Step2: Substitute the given perimeter value

We know the perimeter \( P = 34.2 \) yards. So we set up the equation: \( 34.2 = y + 10.1 + 14 \).

Step3: Simplify the right - hand side

First, add \( 10.1 \) and \( 14 \): \( 10.1+14 = 24.1 \). So the equation becomes \( 34.2=y + 24.1 \).

Step4: Solve for \( y \)

Subtract \( 24.1 \) from both sides of the equation: \( y=34.2 - 24.1 \).
Calculate \( 34.2−24.1 = 10.1 \).

Answer:

10.1