Respuesta :

A = { 3(15 + 9) } / 2 = 36 sq. units

Answer:

36 sq. units

Step-by-step explanation:

Area of any Trapezoid can be found by the formula Area=[tex]\frac{1}{2} (sum of length of bases)xheight[/tex]

The base angles are given as 45 degrees so we have a 45 45 90 triangle .In 45 45 90 triangle legs are same so height = 3.

Area of trapezoid =[tex]\frac{1}{2} (9+15).3[/tex]

                            =[tex]\frac{1}{2} (24).3=36square units.[/tex]