Answer:
775
Step-by-step explanation:
House area:
[tex]A=bh+\frac{1}{2}bh+ \frac{1}{2}bh*2+bh\\A=(5*20)+(\frac{1}{2} *5*5)+(\frac{1}{2} *5*5)*2+(10*30)\\A=100+12.5+12.5*2+300\\A=550[/tex]
Porch area:
[tex]A=bh-(\frac{1}{2}bh+ \frac{1}{2}bh+ bh)\\A=(15*30)-(\frac{1}{2}*5*5+ \frac{1}{2}*5*5+ 20*5)\\A=450-225\\A=225[/tex]
Both:
P= porch area
H= house area
[tex]A=H+P\\A=550+225\\A=775[/tex]
