Question

look at this parallelogram. find the value of t.
image of a parallelogram with top side labeled t, one of the slant sides labeled 19.8 m, and perimeter = 53 meters
t = blank meters

Explanation:

Step1: Recall the perimeter formula for a parallelogram

The perimeter \( P \) of a parallelogram is given by \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides. In this case, one side is \( t \) and the other is \( 19.8 \) m, and the perimeter \( P = 53 \) m. So we have the equation \( 53 = 2(t + 19.8) \).

Step2: Solve for \( t \)

First, divide both sides of the equation by 2: \( \frac{53}{2}=t + 19.8 \). Calculating \( \frac{53}{2} \), we get \( 26.5=t + 19.8 \). Then, subtract \( 19.8 \) from both sides: \( t=26.5 - 19.8 \). Calculating the right - hand side, \( 26.5-19.8 = 6.7 \).

Answer:

6.7