Question

look at this parallelogram. find the value of y.
4.9 mi
perimeter = 45.2 miles
y = miles

Explanation:

Step1: Recall perimeter formula for parallelogram

The perimeter \( P \) of a parallelogram is given by \( P = 2(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides. Here, one side \( a = 4.9 \) mi, the other side is \( y \), and \( P = 45.2 \) mi. So, \( 45.2 = 2(4.9 + y) \).

Step2: Divide both sides by 2

Divide the perimeter by 2: \( \frac{45.2}{2} = 4.9 + y \). Calculating \( \frac{45.2}{2} = 22.6 \), so \( 22.6 = 4.9 + y \).

Step3: Solve for y

Subtract 4.9 from both sides: \( y = 22.6 - 4.9 \). Calculating \( 22.6 - 4.9 = 17.7 \).

Answer:

17.7