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Two sides of a parallelogram are 170 feet and 650 feet. The measure of the angle between these sides is 113°. Find the area of the parallelogram to the nearest square foot.

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lhannearaujo

The area of the parallelogram is equal to 101716 ft².

Quadrilaterals

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides of a parallelogram are equal and parallel.

Parallelogram Area

You can find the parallelogram area from two formulas:

  • A=b * h , where b=base and h=height;

  • A= a*b* sin(Θ), where a=side 1, b=side 2 and Θ=angle between the sides;

The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).

Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:

A= 170 * 650* sin (113°)

A=101716 ft²

Read more about the area of parallelogram here:

https://brainly.com/question/21390857

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