Practice Quiz

SAT Math

Category - Geometry and Measurement

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What is the area of the rhombus in the figure below?
  1. √3
  2. 2√3
  3. 4√3
  4. 8√3
  5. 16√3
Explanation
Answer: D - The area of the rhombus is 8√3. The sides of the rhombus are equal, so ∆ABD is equilateral. The height of ∆ABD is equal to the height of the rhombus.
h=(AB√3)/2=(4√3)/2=2√3
A=AB×h=4×2√3=8√3
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