Respuesta :

Answer:

Step-by-step explanation:

Semicircle:

diameter = 6 yd

r = 6/2 = 3 yd

[tex]Area \ of \ semicircle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]

                                [tex]=\dfrac{1}{2}*3.14*3*3\\\\= 14.13 \ yd^{2}[/tex]

Triangle:

base = b =6 yd

height = h = 4 yd

[tex]Area \ of \ triangle = \dfrac{1}{2}bh\\\\[/tex]

                            [tex]=\dfrac{1}{2}*6*4\\\\\\= 3*4\\\\= 12 \ yd^{2}[/tex]

Area of composite figure =area of semicircle + area of triangle

                                         = 14.13 +12

                                         = 26.13 yd²