+68 In the figure below, ZAX is equilateral and has perimeter 30.
What is the exact area of the quadrilateral FLAX? Explain how you determined your answer.
https://ibb.co/ethVpx
hint: FLAX is not a square!
+129852 If ZAX is equilateral and has a perimeter of 30, then XA must = 10
So...ZA must also = 10
Note that angle ZAX = 60...so angle LAZ = 90 - 60 = 30
And we can find LA thusly :
cos LAZ = LA / ZA
cos (30) = LA / 10
10 cos (30 ) = LA
10 √3/2 = LA = 5√3
So....the area of FLAX = XA * LA = 10 * 5√3 = 50√3 units^2
