Respuesta :

Area = 33.66 mi²

Solution:

The given shape is a trapezoid.

Length of top base ([tex]b_1[/tex]) = 7.9 mi

Length of bottom base ([tex]b_2[/tex]) = 2.3 mi

Height of trapezoid (h) = 6.6 mi

To find the area of the trapezoid:

Area of the trapezoid = [tex]\frac{1}{2}\times (b_1+b_2)\times h[/tex]

                                    [tex]$=\frac{1}{2}\times (7.9+2.3)\times 6.6[/tex]

                                    [tex]$=\frac{1}{2}\times 10.2\times 6.6[/tex]

                                    = 33.66 mi²

Area = 33.66 mi²