What is the area of the trapezoid shown? Express your answer in simplest exact form.

donkey Apr 20, 2019

#1**+1 **

Draw a perendicular to the base from the top right vertex......this will form a right triangle with sides 1 - √3 - 2

And the height = √3

And the distance from the bottom right vertex to the intersection of the perpendicular and the base = 1

So....by symmetery.....the base length = 1 + 2 + 1 = 4

So.....the area = (1.2) height * ( sum of base lengths) =

(1/2) * √3 * ( 4 + 2) =

(1/2) (6) (√3) =

3√3 units^2

CPhill Apr 20, 2019