Question

find the value of p.
19.8 m
p
13.2 m
perimeter = 52.8 meters
p = \boxed{} meters

Explanation:

Step1: Recall perimeter formula for triangle

The perimeter \( P \) of a triangle is the sum of its three sides. So, \( P = a + b + c \), where \( a \), \( b \), and \( c \) are the lengths of the sides.

Step2: Substitute known values

We know two sides: \( 19.8 \) m, \( 13.2 \) m, and the perimeter \( P = 52.8 \) m. Let the unknown side be \( p \). So, \( 52.8 = 19.8 + 13.2 + p \).

Step3: Simplify the right - hand side

First, calculate \( 19.8+13.2 = 33 \). So the equation becomes \( 52.8=33 + p \).

Step4: Solve for \( p \)

Subtract \( 33 \) from both sides of the equation: \( p=52.8 - 33 \).
\( p = 19.8 \)

Answer:

\( 19.8 \)