2010 · Q55
In the figure given above, ABCD is a quadrilateral with AB parallel to DC and AD parallel to BC. ADC is a right angle. If the perimeter of the triangle ABE is 6 units, what is the area of the quadrilateral?
Elementary MathematicsGeometry
- A2 √3 square units
- B4 square units
- C3 square units
- D4√3 square units
Explanation
ΔABE is equilateral (60°,60°) with perimeter 6, so AB=2, height=√3; rectangle area=2√3.