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Akimi4 [234]
4 years ago
11

Find the area of a parallelogram with sides of 12 inches and 8 inches if one of the angles is 1200

Mathematics
1 answer:
KiRa [710]4 years ago
8 0

Answer:

 48√3 sq in

Step-by-step explanation:

The area is given by the formula ...

  A = ab·sin(α)

where <em>a</em> and <em>b</em> are the side lengths, and <em>α</em> is the angle between them.

Here, the given values show the area to be ...

  A = (12 in)(8 in)sin(120°) = (96 in²)(√3)/2

  A = 48√3 in²

The area of the parallelogram is 48√3 in².

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Step 1: Simplify both sides of the equation.

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