If the area of a parallelogram is 100, what is the perimeter of the parallelogram? (1) The base of the parallelogram is 10. (2) One of the angles of the parallelogram is 45 degrees.

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Answer:

48.2842 units is the perimeter of the parallelogram.

Step-by-step explanation:

Area of the parallelogram = Base × Height

Base of the parallelogram,b = 10 units

Height of the parallelogram = h units

[tex]A=b\times h[/tex]

[tex]100 unit^2=10 units\times h[/tex]

h = 10 units

In triangle , ABC

[tex]\sin 45^oC=\frac{AC}{AB}=\frac{10}{s}[/tex]

Side of the parallelogram AB = s =14.1421 units

Perimeter of parallelogram : 2(s+b) = 2(14.1421+10) units=48.2842 units.

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Answer:

48.2842 units is the perimeter of the parallelogram explanation:

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