SOLUTION: Given measure of angle X is 30 degrees, measure of angle Y is 30 degrees, line wz is 10 and line xy equals 18. Find the area of trapezoid wxyz

Question 973454: Given measure of angle X is 30 degrees, measure of angle Y is 30 degrees, line wz is 10 and line xy equals 18. Find the area of trapezoid wxyz
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is an isosceles trapezoid
Lengths of bases are 10,18
This is difficult to show without a picture, bu the altitude is between w and XY line and z and xy line, and it intersects 4 units from each end, because the trapezoid is symmetrical.
This is a 30-60-90 triangle, where the side opposite the 30 is the altitude. The adjacent side is 4, so the opposite side is (4/3) sqrt (3). The hypotenuse, which you don't need here, happens to be (8/3) sqrt (3).
A= (1/2) h (b1+b2)
=(1/2) (4/3) sqrt (3)*28
=14 *(4/3 sqrt (3))
=(56/3) sqrt (3)
=32.33 square units.

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