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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A parallelogram has sides 88 and 1010 with one angle 60°60°. What is its area?

  • A

    8080

  • B

    80380\sqrt{3}

  • C

    4040

  • D

    40340\sqrt{3}

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Explanation

Area =absin⁡θ=8⋅10⋅sin⁡60°=80⋅32=403=ab\sin\theta=8\cdot 10\cdot\sin 60°=80\cdot\frac{\sqrt 3}{2}=40\sqrt 3.

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