Question

Find the area of the trapezoid. Leave your answer in simplest radical form.

Answer 1

Answer:

64√3 ft²

Step-by-step explanation:

The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.

The long leg (represented by the dashed line) is (8 ft)(sin 60°), or

(8 ft)(√3/2), or 4√3.  This is also the width of the horizontal trapezoid.

The area of this horizontal trapezoid is:

      (sum of horizontal sides)

A = ------------------------------------- * (width)

                         2

Here, the area is:

      (18 ft + (18 ft - 4 ft)

= ------------------------------------- * (4√3)

                   2

    32 ft

= ----------- * 4√3  =  64√3 ft²

       2