quadilaterals
Geometry
Level
3
The figure shows four lines drawn in the first quadrant of the cartesian plane such that AE = AB , AD = AC . Find the area of the quadrilateral ABOD to 2 decimal places.
.
The answer is 7.50.
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1 solution
The coordinate of the point A can be easily calcuated = ( 3,3) , then the required area can be split into two areas :
A1 = area of ADB = 2 1 1 = 5.5
A2 = area of ODB = 2 4 = 2
then A1+ A2 = A = 7.50