greensampark greensampark
  • 23-03-2016
  • Mathematics
contestada

The perimeter of a parallelogram is 50

inches. If the length of one side is 15

​inches, what is the length of a side adjacent to​ it?

Respuesta :

meerkat18
meerkat18 meerkat18
  • 23-03-2016
Given:
Perimeter of parallelogram = 50 inches
Length of one side is 15 inches

Find the length of the adjacent side.

Parallelograms have 4 sides and its measures of opposite sides are equal.

Perimeter = 2a + 2b
where:
a are opposite sides of equal measure
b are opposite sides of equal measure

50 inches = 2(15 inches) 
50 inches = 30 inches + 2b
50 inches - 30 inches = 2b
20 inches = 2b
20 inches / 2 = b
10 inches = b 

The length of the adjacent side is 10 inches.
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