Question

the graph shows the endpoints of one side of a parallelogram. determine the perimeter of the parallelogram.
enter the unknown segment length(s), then calculate the perimeter of the polygon.
perimeter of the parallelogram:
units

Explanation:

Step1: Calculate the length of \( AE \)

Use the distance formula \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \). For points \( A(-21,3) \) and \( E(-2,3) \), \( x_1=-21,y_1 = 3,x_2=-2,y_2 = 3 \).

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Step2: Calculate the length of the vertical side

From the graph, the vertical side length (assuming the height from \( y = 3 \) to \( y = 17 \)) is \( 17-3=14 \)

Step3: Calculate the perimeter of the parallelogram

The perimeter formula of a parallelogram is \( P = 2(a + b) \), where \( a = 19 \) (length of \( AE \)) and \( b=14 \) (vertical side length).

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Answer:

66